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Simplifying 9 + 4m + -8 = 9m + 15 + -7m Reorder the terms: 9 + -8 + 4m = 9m + 15 + -7m Combine like terms: 9 + -8 = 1 1 + 4m = 9m + 15 + -7m Reorder the terms: 1 + 4m = 15 + 9m + -7m Combine like terms: 9m + -7m = 2m 1 + 4m = 15 + 2m Solving 1 + 4m = 15 + 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. 1 + 4m + -2m = 15 + 2m + -2m Combine like terms: 4m + -2m = 2m 1 + 2m = 15 + 2m + -2m Combine like terms: 2m + -2m = 0 1 + 2m = 15 + 0 1 + 2m = 15 Add '-1' to each side of the equation. 1 + -1 + 2m = 15 + -1 Combine like terms: 1 + -1 = 0 0 + 2m = 15 + -1 2m = 15 + -1 Combine like terms: 15 + -1 = 14 2m = 14 Divide each side by '2'. m = 7 Simplifying m = 7
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