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Simplifying -174 = 6(1 + 6m) -174 = (1 * 6 + 6m * 6) -174 = (6 + 36m) Solving -174 = 6 + 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 = 6 + 36m + -36m Combine like terms: 36m + -36m = 0 -174 + -36m = 6 + 0 -174 + -36m = 6 Add '174' to each side of the equation. -174 + 174 + -36m = 6 + 174 Combine like terms: -174 + 174 = 0 0 + -36m = 6 + 174 -36m = 6 + 174 Combine like terms: 6 + 174 = 180 -36m = 180 Divide each side by '-36'. m = -5 Simplifying m = -5
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