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