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Simplifying 7(3 + -3m) + -1(8m + -4) = 54 (3 * 7 + -3m * 7) + -1(8m + -4) = 54 (21 + -21m) + -1(8m + -4) = 54 Reorder the terms: 21 + -21m + -1(-4 + 8m) = 54 21 + -21m + (-4 * -1 + 8m * -1) = 54 21 + -21m + (4 + -8m) = 54 Reorder the terms: 21 + 4 + -21m + -8m = 54 Combine like terms: 21 + 4 = 25 25 + -21m + -8m = 54 Combine like terms: -21m + -8m = -29m 25 + -29m = 54 Solving 25 + -29m = 54 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -29m = 54 + -25 Combine like terms: 25 + -25 = 0 0 + -29m = 54 + -25 -29m = 54 + -25 Combine like terms: 54 + -25 = 29 -29m = 29 Divide each side by '-29'. m = -1 Simplifying m = -1
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