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.

-4b + z = 2b + z - 8
-4b = 2b + z - 8 - z
-4b - 2b = z - 8 - z
-6b = - 8
b = \( \frac{ - 8}{-6} \)
b = \( \frac{}{-6} \) + \( \frac{-8}{-6} \)
b = z + 1\(\frac{1}{3}\)

A line on the coordinate grid can be defined by a slope-intercept equation: y = mx + b. For a given value of x, the value of y can be determined given the slope (m) and y-intercept (b) of the line. The slope of a line is change in y over change in x, \({\Delta y \over \Delta x}\), and the y-intercept is the y-coordinate where the line crosses the vertical y-axis.

A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.

To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.

6a + 5a = 11a

An equation is two expressions separated by an equal sign. The key to solving equations is to repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.