To solve this equation, 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.

4c + 1 = 5 + 8c
4c = 5 + 8c - 1
4c - 8c = 5 - 1
-4c = 4
c = \( \frac{4}{-4} \)
c = -1

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.)

-8b(b - x)
-8(-8)(-8 - 1)
-8(-8)(-9)
(64)(-9)
-576

To solve this equation, 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.

-8a + 5 = \( \frac{a}{6} \)
6 x (-8a + 5) = a
(6 x -8a) + (6 x 5) = a
-48a + 30 = a
-48a + 30 - a = 0
-48a - a = -30
-49a = -30
a = \( \frac{-30}{-49} \)
a = \(\frac{30}{49}\)

A cylinder is a solid figure with straight parallel sides and a circular or oval cross section with a radius (r) and a height (h). The volume of a cylinder is π r²h and the surface area is 2(π r²) + 2π rh.

A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).