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Simplifying 16m + -1(-12m + 3) + 7 = -2m + -16 + 32m + -10 Reorder the terms: 16m + -1(3 + -12m) + 7 = -2m + -16 + 32m + -10 16m + (3 * -1 + -12m * -1) + 7 = -2m + -16 + 32m + -10 16m + (-3 + 12m) + 7 = -2m + -16 + 32m + -10 Reorder the terms: -3 + 7 + 16m + 12m = -2m + -16 + 32m + -10 Combine like terms: -3 + 7 = 4 4 + 16m + 12m = -2m + -16 + 32m + -10 Combine like terms: 16m + 12m = 28m 4 + 28m = -2m + -16 + 32m + -10 Reorder the terms: 4 + 28m = -16 + -10 + -2m + 32m Combine like terms: -16 + -10 = -26 4 + 28m = -26 + -2m + 32m Combine like terms: -2m + 32m = 30m 4 + 28m = -26 + 30m Solving 4 + 28m = -26 + 30m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-30m' to each side of the equation. 4 + 28m + -30m = -26 + 30m + -30m Combine like terms: 28m + -30m = -2m 4 + -2m = -26 + 30m + -30m Combine like terms: 30m + -30m = 0 4 + -2m = -26 + 0 4 + -2m = -26 Add '-4' to each side of the equation. 4 + -4 + -2m = -26 + -4 Combine like terms: 4 + -4 = 0 0 + -2m = -26 + -4 -2m = -26 + -4 Combine like terms: -26 + -4 = -30 -2m = -30 Divide each side by '-2'. m = 15 Simplifying m = 15
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