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Simplifying 5m + -45 = 13 + -40 + 4m Reorder the terms: -45 + 5m = 13 + -40 + 4m Combine like terms: 13 + -40 = -27 -45 + 5m = -27 + 4m Solving -45 + 5m = -27 + 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. -45 + 5m + -4m = -27 + 4m + -4m Combine like terms: 5m + -4m = 1m -45 + 1m = -27 + 4m + -4m Combine like terms: 4m + -4m = 0 -45 + 1m = -27 + 0 -45 + 1m = -27 Add '45' to each side of the equation. -45 + 45 + 1m = -27 + 45 Combine like terms: -45 + 45 = 0 0 + 1m = -27 + 45 1m = -27 + 45 Combine like terms: -27 + 45 = 18 1m = 18 Divide each side by '1'. m = 18 Simplifying m = 18
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