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Simplifying -174 = 6(-6m + 7) Reorder the terms: -174 = 6(7 + -6m) -174 = (7 * 6 + -6m * 6) -174 = (42 + -36m) Solving -174 = 42 + -36m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '36m' to each side of the equation. -174 + 36m = 42 + -36m + 36m Combine like terms: -36m + 36m = 0 -174 + 36m = 42 + 0 -174 + 36m = 42 Add '174' to each side of the equation. -174 + 174 + 36m = 42 + 174 Combine like terms: -174 + 174 = 0 0 + 36m = 42 + 174 36m = 42 + 174 Combine like terms: 42 + 174 = 216 36m = 216 Divide each side by '36'. m = 6 Simplifying m = 6
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