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Simplifying 4(12m + -5) + -1m = 9(-1 + 4m) Reorder the terms: 4(-5 + 12m) + -1m = 9(-1 + 4m) (-5 * 4 + 12m * 4) + -1m = 9(-1 + 4m) (-20 + 48m) + -1m = 9(-1 + 4m) Combine like terms: 48m + -1m = 47m -20 + 47m = 9(-1 + 4m) -20 + 47m = (-1 * 9 + 4m * 9) -20 + 47m = (-9 + 36m) Solving -20 + 47m = -9 + 36m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-36m' to each side of the equation. -20 + 47m + -36m = -9 + 36m + -36m Combine like terms: 47m + -36m = 11m -20 + 11m = -9 + 36m + -36m Combine like terms: 36m + -36m = 0 -20 + 11m = -9 + 0 -20 + 11m = -9 Add '20' to each side of the equation. -20 + 20 + 11m = -9 + 20 Combine like terms: -20 + 20 = 0 0 + 11m = -9 + 20 11m = -9 + 20 Combine like terms: -9 + 20 = 11 11m = 11 Divide each side by '11'. m = 1 Simplifying m = 1
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