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Simplifying m(3 + -4m) = 7 + 4(8 + -1m * m) (3 * m + -4m * m) = 7 + 4(8 + -1m * m) (3m + -4m2) = 7 + 4(8 + -1m * m) Multiply m * m 3m + -4m2 = 7 + 4(8 + -1m2) 3m + -4m2 = 7 + (8 * 4 + -1m2 * 4) 3m + -4m2 = 7 + (32 + -4m2) Combine like terms: 7 + 32 = 39 3m + -4m2 = 39 + -4m2 Add '4m2' to each side of the equation. 3m + -4m2 + 4m2 = 39 + -4m2 + 4m2 Combine like terms: -4m2 + 4m2 = 0 3m + 0 = 39 + -4m2 + 4m2 3m = 39 + -4m2 + 4m2 Combine like terms: -4m2 + 4m2 = 0 3m = 39 + 0 3m = 39 Solving 3m = 39 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Divide each side by '3'. m = 13 Simplifying m = 13
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