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Simplifying 5(1 + -2r) + 7 = 92 (1 * 5 + -2r * 5) + 7 = 92 (5 + -10r) + 7 = 92 Reorder the terms: 5 + 7 + -10r = 92 Combine like terms: 5 + 7 = 12 12 + -10r = 92 Solving 12 + -10r = 92 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -10r = 92 + -12 Combine like terms: 12 + -12 = 0 0 + -10r = 92 + -12 -10r = 92 + -12 Combine like terms: 92 + -12 = 80 -10r = 80 Divide each side by '-10'. r = -8 Simplifying r = -8
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