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Simplifying -125 = -5(1 + 6r) -125 = (1 * -5 + 6r * -5) -125 = (-5 + -30r) Solving -125 = -5 + -30r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '30r' to each side of the equation. -125 + 30r = -5 + -30r + 30r Combine like terms: -30r + 30r = 0 -125 + 30r = -5 + 0 -125 + 30r = -5 Add '125' to each side of the equation. -125 + 125 + 30r = -5 + 125 Combine like terms: -125 + 125 = 0 0 + 30r = -5 + 125 30r = -5 + 125 Combine like terms: -5 + 125 = 120 30r = 120 Divide each side by '30'. r = 4 Simplifying r = 4
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