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Simplifying 7 = -4(2m + 3) + -7(1 + -3m) Reorder the terms: 7 = -4(3 + 2m) + -7(1 + -3m) 7 = (3 * -4 + 2m * -4) + -7(1 + -3m) 7 = (-12 + -8m) + -7(1 + -3m) 7 = -12 + -8m + (1 * -7 + -3m * -7) 7 = -12 + -8m + (-7 + 21m) Reorder the terms: 7 = -12 + -7 + -8m + 21m Combine like terms: -12 + -7 = -19 7 = -19 + -8m + 21m Combine like terms: -8m + 21m = 13m 7 = -19 + 13m Solving 7 = -19 + 13m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-13m' to each side of the equation. 7 + -13m = -19 + 13m + -13m Combine like terms: 13m + -13m = 0 7 + -13m = -19 + 0 7 + -13m = -19 Add '-7' to each side of the equation. 7 + -7 + -13m = -19 + -7 Combine like terms: 7 + -7 = 0 0 + -13m = -19 + -7 -13m = -19 + -7 Combine like terms: -19 + -7 = -26 -13m = -26 Divide each side by '-13'. m = 2 Simplifying m = 2
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