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Simplifying 4(2m + -9) = 5(11 + -1m) Reorder the terms: 4(-9 + 2m) = 5(11 + -1m) (-9 * 4 + 2m * 4) = 5(11 + -1m) (-36 + 8m) = 5(11 + -1m) -36 + 8m = (11 * 5 + -1m * 5) -36 + 8m = (55 + -5m) Solving -36 + 8m = 55 + -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. -36 + 8m + 5m = 55 + -5m + 5m Combine like terms: 8m + 5m = 13m -36 + 13m = 55 + -5m + 5m Combine like terms: -5m + 5m = 0 -36 + 13m = 55 + 0 -36 + 13m = 55 Add '36' to each side of the equation. -36 + 36 + 13m = 55 + 36 Combine like terms: -36 + 36 = 0 0 + 13m = 55 + 36 13m = 55 + 36 Combine like terms: 55 + 36 = 91 13m = 91 Divide each side by '13'. m = 7 Simplifying m = 7
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