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Simplifying 5 + 3m + (-4) + 8 = -2m + 10 + (-9) 5 + 3m + -4 + 8 = -2m + 10 + (-9) Reorder the terms: 5 + -4 + 8 + 3m = -2m + 10 + (-9) Combine like terms: 5 + -4 = 1 1 + 8 + 3m = -2m + 10 + (-9) Combine like terms: 1 + 8 = 9 9 + 3m = -2m + 10 + (-9) 9 + 3m = -2m + 10 + -9 Reorder the terms: 9 + 3m = 10 + -9 + -2m Combine like terms: 10 + -9 = 1 9 + 3m = 1 + -2m Solving 9 + 3m = 1 + -2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '2m' to each side of the equation. 9 + 3m + 2m = 1 + -2m + 2m Combine like terms: 3m + 2m = 5m 9 + 5m = 1 + -2m + 2m Combine like terms: -2m + 2m = 0 9 + 5m = 1 + 0 9 + 5m = 1 Add '-9' to each side of the equation. 9 + -9 + 5m = 1 + -9 Combine like terms: 9 + -9 = 0 0 + 5m = 1 + -9 5m = 1 + -9 Combine like terms: 1 + -9 = -8 5m = -8 Divide each side by '5'. m = -1.6 Simplifying m = -1.6
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