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

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


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

Reorder the terms:
-2(-8 + -2r) = 7(1 + r)
(-8 * -2 + -2r * -2) = 7(1 + r)
(16 + 4r) = 7(1 + r)
16 + 4r = (1 * 7 + r * 7)
16 + 4r = (7 + 7r)

Solving
16 + 4r = 7 + 7r

Solving for variable 'r'.

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

Add '-7r' to each side of the equation.
16 + 4r + -7r = 7 + 7r + -7r

Combine like terms: 4r + -7r = -3r
16 + -3r = 7 + 7r + -7r

Combine like terms: 7r + -7r = 0
16 + -3r = 7 + 0
16 + -3r = 7

Add '-16' to each side of the equation.
16 + -16 + -3r = 7 + -16

Combine like terms: 16 + -16 = 0
0 + -3r = 7 + -16
-3r = 7 + -16

Combine like terms: 7 + -16 = -9
-3r = -9

Divide each side by '-3'.
r = 3

Simplifying
r = 3

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