-6(8+3r)-7(-7-7r)=-61

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Solution for -6(8+3r)-7(-7-7r)=-61 equation:


Simplifying
-6(8 + 3r) + -7(-7 + -7r) = -61
(8 * -6 + 3r * -6) + -7(-7 + -7r) = -61
(-48 + -18r) + -7(-7 + -7r) = -61
-48 + -18r + (-7 * -7 + -7r * -7) = -61
-48 + -18r + (49 + 49r) = -61

Reorder the terms:
-48 + 49 + -18r + 49r = -61

Combine like terms: -48 + 49 = 1
1 + -18r + 49r = -61

Combine like terms: -18r + 49r = 31r
1 + 31r = -61

Solving
1 + 31r = -61

Solving for variable 'r'.

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

Add '-1' to each side of the equation.
1 + -1 + 31r = -61 + -1

Combine like terms: 1 + -1 = 0
0 + 31r = -61 + -1
31r = -61 + -1

Combine like terms: -61 + -1 = -62
31r = -62

Divide each side by '31'.
r = -2

Simplifying
r = -2

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