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Simplifying -120 = 8(r + -7) Reorder the terms: -120 = 8(-7 + r) -120 = (-7 * 8 + r * 8) -120 = (-56 + 8r) Solving -120 = -56 + 8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-8r' to each side of the equation. -120 + -8r = -56 + 8r + -8r Combine like terms: 8r + -8r = 0 -120 + -8r = -56 + 0 -120 + -8r = -56 Add '120' to each side of the equation. -120 + 120 + -8r = -56 + 120 Combine like terms: -120 + 120 = 0 0 + -8r = -56 + 120 -8r = -56 + 120 Combine like terms: -56 + 120 = 64 -8r = 64 Divide each side by '-8'. r = -8 Simplifying r = -8
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