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Simplifying 9(5m + -2) = -7(4m + -2) Reorder the terms: 9(-2 + 5m) = -7(4m + -2) (-2 * 9 + 5m * 9) = -7(4m + -2) (-18 + 45m) = -7(4m + -2) Reorder the terms: -18 + 45m = -7(-2 + 4m) -18 + 45m = (-2 * -7 + 4m * -7) -18 + 45m = (14 + -28m) Solving -18 + 45m = 14 + -28m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '28m' to each side of the equation. -18 + 45m + 28m = 14 + -28m + 28m Combine like terms: 45m + 28m = 73m -18 + 73m = 14 + -28m + 28m Combine like terms: -28m + 28m = 0 -18 + 73m = 14 + 0 -18 + 73m = 14 Add '18' to each side of the equation. -18 + 18 + 73m = 14 + 18 Combine like terms: -18 + 18 = 0 0 + 73m = 14 + 18 73m = 14 + 18 Combine like terms: 14 + 18 = 32 73m = 32 Divide each side by '73'. m = 0.4383561644 Simplifying m = 0.4383561644
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