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Simplifying 8m + 9 + -12m = 4m + -13 + -5m Reorder the terms: 9 + 8m + -12m = 4m + -13 + -5m Combine like terms: 8m + -12m = -4m 9 + -4m = 4m + -13 + -5m Reorder the terms: 9 + -4m = -13 + 4m + -5m Combine like terms: 4m + -5m = -1m 9 + -4m = -13 + -1m Solving 9 + -4m = -13 + -1m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add 'm' to each side of the equation. 9 + -4m + m = -13 + -1m + m Combine like terms: -4m + m = -3m 9 + -3m = -13 + -1m + m Combine like terms: -1m + m = 0 9 + -3m = -13 + 0 9 + -3m = -13 Add '-9' to each side of the equation. 9 + -9 + -3m = -13 + -9 Combine like terms: 9 + -9 = 0 0 + -3m = -13 + -9 -3m = -13 + -9 Combine like terms: -13 + -9 = -22 -3m = -22 Divide each side by '-3'. m = 7.333333333 Simplifying m = 7.333333333
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