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Simplifying -174 = 2m + 7(-5m + -6) Reorder the terms: -174 = 2m + 7(-6 + -5m) -174 = 2m + (-6 * 7 + -5m * 7) -174 = 2m + (-42 + -35m) Reorder the terms: -174 = -42 + 2m + -35m Combine like terms: 2m + -35m = -33m -174 = -42 + -33m Solving -174 = -42 + -33m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '33m' to each side of the equation. -174 + 33m = -42 + -33m + 33m Combine like terms: -33m + 33m = 0 -174 + 33m = -42 + 0 -174 + 33m = -42 Add '174' to each side of the equation. -174 + 174 + 33m = -42 + 174 Combine like terms: -174 + 174 = 0 0 + 33m = -42 + 174 33m = -42 + 174 Combine like terms: -42 + 174 = 132 33m = 132 Divide each side by '33'. m = 4 Simplifying m = 4
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