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Simplifying 7 + 6m + -1 = 9m + 34 + -7m Reorder the terms: 7 + -1 + 6m = 9m + 34 + -7m Combine like terms: 7 + -1 = 6 6 + 6m = 9m + 34 + -7m Reorder the terms: 6 + 6m = 34 + 9m + -7m Combine like terms: 9m + -7m = 2m 6 + 6m = 34 + 2m Solving 6 + 6m = 34 + 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. 6 + 6m + -2m = 34 + 2m + -2m Combine like terms: 6m + -2m = 4m 6 + 4m = 34 + 2m + -2m Combine like terms: 2m + -2m = 0 6 + 4m = 34 + 0 6 + 4m = 34 Add '-6' to each side of the equation. 6 + -6 + 4m = 34 + -6 Combine like terms: 6 + -6 = 0 0 + 4m = 34 + -6 4m = 34 + -6 Combine like terms: 34 + -6 = 28 4m = 28 Divide each side by '4'. m = 7 Simplifying m = 7
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