5(r+6)=-r-12

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Solution for 5(r+6)=-r-12 equation:


Simplifying
5(r + 6) = -1r + -12

Reorder the terms:
5(6 + r) = -1r + -12
(6 * 5 + r * 5) = -1r + -12
(30 + 5r) = -1r + -12

Reorder the terms:
30 + 5r = -12 + -1r

Solving
30 + 5r = -12 + -1r

Solving for variable 'r'.

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

Add 'r' to each side of the equation.
30 + 5r + r = -12 + -1r + r

Combine like terms: 5r + r = 6r
30 + 6r = -12 + -1r + r

Combine like terms: -1r + r = 0
30 + 6r = -12 + 0
30 + 6r = -12

Add '-30' to each side of the equation.
30 + -30 + 6r = -12 + -30

Combine like terms: 30 + -30 = 0
0 + 6r = -12 + -30
6r = -12 + -30

Combine like terms: -12 + -30 = -42
6r = -42

Divide each side by '6'.
r = -7

Simplifying
r = -7

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