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Simplifying 8 + 6m + -7 = 9m + 29 + -7m Reorder the terms: 8 + -7 + 6m = 9m + 29 + -7m Combine like terms: 8 + -7 = 1 1 + 6m = 9m + 29 + -7m Reorder the terms: 1 + 6m = 29 + 9m + -7m Combine like terms: 9m + -7m = 2m 1 + 6m = 29 + 2m Solving 1 + 6m = 29 + 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 + 6m + -2m = 29 + 2m + -2m Combine like terms: 6m + -2m = 4m 1 + 4m = 29 + 2m + -2m Combine like terms: 2m + -2m = 0 1 + 4m = 29 + 0 1 + 4m = 29 Add '-1' to each side of the equation. 1 + -1 + 4m = 29 + -1 Combine like terms: 1 + -1 = 0 0 + 4m = 29 + -1 4m = 29 + -1 Combine like terms: 29 + -1 = 28 4m = 28 Divide each side by '4'. m = 7 Simplifying m = 7
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