8(1+r)-2(r-7)=64

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Solution for 8(1+r)-2(r-7)=64 equation: 


Simplifying
8(1 + r) + -2(r + -7) = 64
(1 * 8 + r * 8) + -2(r + -7) = 64
(8 + 8r) + -2(r + -7) = 64

Reorder the terms:
8 + 8r + -2(-7 + r) = 64
8 + 8r + (-7 * -2 + r * -2) = 64
8 + 8r + (14 + -2r) = 64

Reorder the terms:
8 + 14 + 8r + -2r = 64

Combine like terms: 8 + 14 = 22
22 + 8r + -2r = 64

Combine like terms: 8r + -2r = 6r
22 + 6r = 64

Solving
22 + 6r = 64

Solving for variable 'r'.

Move all terms containing r to the left, all other terms to the right.

Add '-22' to each side of the equation.
22 + -22 + 6r = 64 + -22

Combine like terms: 22 + -22 = 0
0 + 6r = 64 + -22
6r = 64 + -22

Combine like terms: 64 + -22 = 42
6r = 42

Divide each side by '6'.
r = 7

Simplifying
r = 7

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