8(r+7)-(-7r-8)=4

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Solution for 8(r+7)-(-7r-8)=4 equation:


Simplifying
8(r + 7) + -1(-7r + -8) = 4

Reorder the terms:
8(7 + r) + -1(-7r + -8) = 4
(7 * 8 + r * 8) + -1(-7r + -8) = 4
(56 + 8r) + -1(-7r + -8) = 4

Reorder the terms:
56 + 8r + -1(-8 + -7r) = 4
56 + 8r + (-8 * -1 + -7r * -1) = 4
56 + 8r + (8 + 7r) = 4

Reorder the terms:
56 + 8 + 8r + 7r = 4

Combine like terms: 56 + 8 = 64
64 + 8r + 7r = 4

Combine like terms: 8r + 7r = 15r
64 + 15r = 4

Solving
64 + 15r = 4

Solving for variable 'r'.

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

Add '-64' to each side of the equation.
64 + -64 + 15r = 4 + -64

Combine like terms: 64 + -64 = 0
0 + 15r = 4 + -64
15r = 4 + -64

Combine like terms: 4 + -64 = -60
15r = -60

Divide each side by '15'.
r = -4

Simplifying
r = -4

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