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Simplifying 12 + -1(4m + 7) = 2 + 2m + -15 Reorder the terms: 12 + -1(7 + 4m) = 2 + 2m + -15 12 + (7 * -1 + 4m * -1) = 2 + 2m + -15 12 + (-7 + -4m) = 2 + 2m + -15 Combine like terms: 12 + -7 = 5 5 + -4m = 2 + 2m + -15 Reorder the terms: 5 + -4m = 2 + -15 + 2m Combine like terms: 2 + -15 = -13 5 + -4m = -13 + 2m Solving 5 + -4m = -13 + 2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. 5 + -4m + -2m = -13 + 2m + -2m Combine like terms: -4m + -2m = -6m 5 + -6m = -13 + 2m + -2m Combine like terms: 2m + -2m = 0 5 + -6m = -13 + 0 5 + -6m = -13 Add '-5' to each side of the equation. 5 + -5 + -6m = -13 + -5 Combine like terms: 5 + -5 = 0 0 + -6m = -13 + -5 -6m = -13 + -5 Combine like terms: -13 + -5 = -18 -6m = -18 Divide each side by '-6'. m = 3 Simplifying m = 3
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