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Simplifying -9(2m + 1) = -5(4m + -2) + 7 Reorder the terms: -9(1 + 2m) = -5(4m + -2) + 7 (1 * -9 + 2m * -9) = -5(4m + -2) + 7 (-9 + -18m) = -5(4m + -2) + 7 Reorder the terms: -9 + -18m = -5(-2 + 4m) + 7 -9 + -18m = (-2 * -5 + 4m * -5) + 7 -9 + -18m = (10 + -20m) + 7 Reorder the terms: -9 + -18m = 10 + 7 + -20m Combine like terms: 10 + 7 = 17 -9 + -18m = 17 + -20m Solving -9 + -18m = 17 + -20m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '20m' to each side of the equation. -9 + -18m + 20m = 17 + -20m + 20m Combine like terms: -18m + 20m = 2m -9 + 2m = 17 + -20m + 20m Combine like terms: -20m + 20m = 0 -9 + 2m = 17 + 0 -9 + 2m = 17 Add '9' to each side of the equation. -9 + 9 + 2m = 17 + 9 Combine like terms: -9 + 9 = 0 0 + 2m = 17 + 9 2m = 17 + 9 Combine like terms: 17 + 9 = 26 2m = 26 Divide each side by '2'. m = 13 Simplifying m = 13
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