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Simplifying 5(4 + 7m) + -1(1 + -8m) = 62 (4 * 5 + 7m * 5) + -1(1 + -8m) = 62 (20 + 35m) + -1(1 + -8m) = 62 20 + 35m + (1 * -1 + -8m * -1) = 62 20 + 35m + (-1 + 8m) = 62 Reorder the terms: 20 + -1 + 35m + 8m = 62 Combine like terms: 20 + -1 = 19 19 + 35m + 8m = 62 Combine like terms: 35m + 8m = 43m 19 + 43m = 62 Solving 19 + 43m = 62 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 43m = 62 + -19 Combine like terms: 19 + -19 = 0 0 + 43m = 62 + -19 43m = 62 + -19 Combine like terms: 62 + -19 = 43 43m = 43 Divide each side by '43'. m = 1 Simplifying m = 1
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