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Simplifying 5m + -9 = 8m + -45 Reorder the terms: -9 + 5m = 8m + -45 Reorder the terms: -9 + 5m = -45 + 8m Solving -9 + 5m = -45 + 8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8m' to each side of the equation. -9 + 5m + -8m = -45 + 8m + -8m Combine like terms: 5m + -8m = -3m -9 + -3m = -45 + 8m + -8m Combine like terms: 8m + -8m = 0 -9 + -3m = -45 + 0 -9 + -3m = -45 Add '9' to each side of the equation. -9 + 9 + -3m = -45 + 9 Combine like terms: -9 + 9 = 0 0 + -3m = -45 + 9 -3m = -45 + 9 Combine like terms: -45 + 9 = -36 -3m = -36 Divide each side by '-3'. m = 12 Simplifying m = 12
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