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Simplifying 8 + 10m + -7 = 7m + 55 + -3m Reorder the terms: 8 + -7 + 10m = 7m + 55 + -3m Combine like terms: 8 + -7 = 1 1 + 10m = 7m + 55 + -3m Reorder the terms: 1 + 10m = 55 + 7m + -3m Combine like terms: 7m + -3m = 4m 1 + 10m = 55 + 4m Solving 1 + 10m = 55 + 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. 1 + 10m + -4m = 55 + 4m + -4m Combine like terms: 10m + -4m = 6m 1 + 6m = 55 + 4m + -4m Combine like terms: 4m + -4m = 0 1 + 6m = 55 + 0 1 + 6m = 55 Add '-1' to each side of the equation. 1 + -1 + 6m = 55 + -1 Combine like terms: 1 + -1 = 0 0 + 6m = 55 + -1 6m = 55 + -1 Combine like terms: 55 + -1 = 54 6m = 54 Divide each side by '6'. m = 9 Simplifying m = 9
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