120=-6(-6-7r)

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Solution for 120=-6(-6-7r) equation:


Simplifying
120 = -6(-6 + -7r)
120 = (-6 * -6 + -7r * -6)
120 = (36 + 42r)

Solving
120 = 36 + 42r

Solving for variable 'r'.

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

Add '-42r' to each side of the equation.
120 + -42r = 36 + 42r + -42r

Combine like terms: 42r + -42r = 0
120 + -42r = 36 + 0
120 + -42r = 36

Add '-120' to each side of the equation.
120 + -120 + -42r = 36 + -120

Combine like terms: 120 + -120 = 0
0 + -42r = 36 + -120
-42r = 36 + -120

Combine like terms: 36 + -120 = -84
-42r = -84

Divide each side by '-42'.
r = 2

Simplifying
r = 2

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