7(8r+3)-8(-9r-7)=-15

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Solution for 7(8r+3)-8(-9r-7)=-15 equation: 


Simplifying
7(8r + 3) + -8(-9r + -7) = -15

Reorder the terms:
7(3 + 8r) + -8(-9r + -7) = -15
(3 * 7 + 8r * 7) + -8(-9r + -7) = -15
(21 + 56r) + -8(-9r + -7) = -15

Reorder the terms:
21 + 56r + -8(-7 + -9r) = -15
21 + 56r + (-7 * -8 + -9r * -8) = -15
21 + 56r + (56 + 72r) = -15

Reorder the terms:
21 + 56 + 56r + 72r = -15

Combine like terms: 21 + 56 = 77
77 + 56r + 72r = -15

Combine like terms: 56r + 72r = 128r
77 + 128r = -15

Solving
77 + 128r = -15

Solving for variable 'r'.

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

Add '-77' to each side of the equation.
77 + -77 + 128r = -15 + -77

Combine like terms: 77 + -77 = 0
0 + 128r = -15 + -77
128r = -15 + -77

Combine like terms: -15 + -77 = -92
128r = -92

Divide each side by '128'.
r = -0.71875

Simplifying
r = -0.71875

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