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Simplifying 7m + -1(3 + m) + 8 + -4m = 9 7m + (3 * -1 + m * -1) + 8 + -4m = 9 7m + (-3 + -1m) + 8 + -4m = 9 Reorder the terms: -3 + 8 + 7m + -1m + -4m = 9 Combine like terms: -3 + 8 = 5 5 + 7m + -1m + -4m = 9 Combine like terms: 7m + -1m = 6m 5 + 6m + -4m = 9 Combine like terms: 6m + -4m = 2m 5 + 2m = 9 Solving 5 + 2m = 9 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 2m = 9 + -5 Combine like terms: 5 + -5 = 0 0 + 2m = 9 + -5 2m = 9 + -5 Combine like terms: 9 + -5 = 4 2m = 4 Divide each side by '2'. m = 2 Simplifying m = 2
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