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Simplifying 15 + -10m + 7 = 4m + -9 + -1m Reorder the terms: 15 + 7 + -10m = 4m + -9 + -1m Combine like terms: 15 + 7 = 22 22 + -10m = 4m + -9 + -1m Reorder the terms: 22 + -10m = -9 + 4m + -1m Combine like terms: 4m + -1m = 3m 22 + -10m = -9 + 3m Solving 22 + -10m = -9 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. 22 + -10m + -3m = -9 + 3m + -3m Combine like terms: -10m + -3m = -13m 22 + -13m = -9 + 3m + -3m Combine like terms: 3m + -3m = 0 22 + -13m = -9 + 0 22 + -13m = -9 Add '-22' to each side of the equation. 22 + -22 + -13m = -9 + -22 Combine like terms: 22 + -22 = 0 0 + -13m = -9 + -22 -13m = -9 + -22 Combine like terms: -9 + -22 = -31 -13m = -31 Divide each side by '-13'. m = 2.384615385 Simplifying m = 2.384615385
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