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Simplifying 9(2m + -3) + -4(5 + 3m) = 5(4 + m) + -3 Reorder the terms: 9(-3 + 2m) + -4(5 + 3m) = 5(4 + m) + -3 (-3 * 9 + 2m * 9) + -4(5 + 3m) = 5(4 + m) + -3 (-27 + 18m) + -4(5 + 3m) = 5(4 + m) + -3 -27 + 18m + (5 * -4 + 3m * -4) = 5(4 + m) + -3 -27 + 18m + (-20 + -12m) = 5(4 + m) + -3 Reorder the terms: -27 + -20 + 18m + -12m = 5(4 + m) + -3 Combine like terms: -27 + -20 = -47 -47 + 18m + -12m = 5(4 + m) + -3 Combine like terms: 18m + -12m = 6m -47 + 6m = 5(4 + m) + -3 -47 + 6m = (4 * 5 + m * 5) + -3 -47 + 6m = (20 + 5m) + -3 Reorder the terms: -47 + 6m = 20 + -3 + 5m Combine like terms: 20 + -3 = 17 -47 + 6m = 17 + 5m Solving -47 + 6m = 17 + 5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5m' to each side of the equation. -47 + 6m + -5m = 17 + 5m + -5m Combine like terms: 6m + -5m = 1m -47 + 1m = 17 + 5m + -5m Combine like terms: 5m + -5m = 0 -47 + 1m = 17 + 0 -47 + 1m = 17 Add '47' to each side of the equation. -47 + 47 + 1m = 17 + 47 Combine like terms: -47 + 47 = 0 0 + 1m = 17 + 47 1m = 17 + 47 Combine like terms: 17 + 47 = 64 1m = 64 Divide each side by '1'. m = 64 Simplifying m = 64
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