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Simplifying 5 + 12m = 7(2m + -5) Reorder the terms: 5 + 12m = 7(-5 + 2m) 5 + 12m = (-5 * 7 + 2m * 7) 5 + 12m = (-35 + 14m) Solving 5 + 12m = -35 + 14m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-14m' to each side of the equation. 5 + 12m + -14m = -35 + 14m + -14m Combine like terms: 12m + -14m = -2m 5 + -2m = -35 + 14m + -14m Combine like terms: 14m + -14m = 0 5 + -2m = -35 + 0 5 + -2m = -35 Add '-5' to each side of the equation. 5 + -5 + -2m = -35 + -5 Combine like terms: 5 + -5 = 0 0 + -2m = -35 + -5 -2m = -35 + -5 Combine like terms: -35 + -5 = -40 -2m = -40 Divide each side by '-2'. m = 20 Simplifying m = 20
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