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