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Simplifying 9m + 5(8 + m) + -6(2m + -7) = 40 9m + (8 * 5 + m * 5) + -6(2m + -7) = 40 9m + (40 + 5m) + -6(2m + -7) = 40 Reorder the terms: 9m + 40 + 5m + -6(-7 + 2m) = 40 9m + 40 + 5m + (-7 * -6 + 2m * -6) = 40 9m + 40 + 5m + (42 + -12m) = 40 Reorder the terms: 40 + 42 + 9m + 5m + -12m = 40 Combine like terms: 40 + 42 = 82 82 + 9m + 5m + -12m = 40 Combine like terms: 9m + 5m = 14m 82 + 14m + -12m = 40 Combine like terms: 14m + -12m = 2m 82 + 2m = 40 Solving 82 + 2m = 40 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-82' to each side of the equation. 82 + -82 + 2m = 40 + -82 Combine like terms: 82 + -82 = 0 0 + 2m = 40 + -82 2m = 40 + -82 Combine like terms: 40 + -82 = -42 2m = -42 Divide each side by '2'. m = -21 Simplifying m = -21
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