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Simplifying 174 = -6(1 + -5r) 174 = (1 * -6 + -5r * -6) 174 = (-6 + 30r) Solving 174 = -6 + 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. 174 + -30r = -6 + 30r + -30r Combine like terms: 30r + -30r = 0 174 + -30r = -6 + 0 174 + -30r = -6 Add '-174' to each side of the equation. 174 + -174 + -30r = -6 + -174 Combine like terms: 174 + -174 = 0 0 + -30r = -6 + -174 -30r = -6 + -174 Combine like terms: -6 + -174 = -180 -30r = -180 Divide each side by '-30'. r = 6 Simplifying r = 6
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