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Simplifying -173 = 2 + 5(1 + -6r) -173 = 2 + (1 * 5 + -6r * 5) -173 = 2 + (5 + -30r) Combine like terms: 2 + 5 = 7 -173 = 7 + -30r Solving -173 = 7 + -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. -173 + 30r = 7 + -30r + 30r Combine like terms: -30r + 30r = 0 -173 + 30r = 7 + 0 -173 + 30r = 7 Add '173' to each side of the equation. -173 + 173 + 30r = 7 + 173 Combine like terms: -173 + 173 = 0 0 + 30r = 7 + 173 30r = 7 + 173 Combine like terms: 7 + 173 = 180 30r = 180 Divide each side by '30'. r = 6 Simplifying r = 6
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