To solve this equation, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)

-3c(c - z)
-3(6)(6 + 7)
-3(6)(13)
(-18)(13)
-234

Parallel lines are lines that share the same slope (steepness) and therefore never intersect. A transversal occurs when a set of parallel lines are crossed by another line. All of the angles formed by a transversal are called interior angles and angles in the same position on different parallel lines equal each other (a° = w°, b° = x°, c° = z°, d° = y°) and are called corresponding angles. Alternate interior angles are equal (a° = z°, b° = y°, c° = w°, d° = x°) and all acute angles (a° = c° = w° = z°) and all obtuse angles (b° = d° = x° = y°) equal each other. Same-side interior angles are supplementary and add up to 180° (e.g. a° + d° = 180°, d° + c° = 180°).

You can only add or subtract monomials that have the same variable and the same exponent. For example, 2a + 4a = 6a and 4a² - a² = 3a² but 2a + 4b and 7a - 3b cannot be combined. However, you can multiply and divide monomials with unlike terms. For example, 2a x 6b = 12ab.

To solve this equation, isolate the variable for which you are solving (b) on one side of the equation and put everything else on the other side.

9b - 8x = -b + x - 3
9b = -b + x - 3 + 8x
9b + b = x - 3 + 8x
10b = 9x - 3
b = \( \frac{9x - 3}{10} \)
b = \( \frac{9x}{10} \) + \( \frac{-3}{10} \)
b = \(\frac{9}{10}\)x - \(\frac{3}{10}\)

A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.