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Simplifying 3 + 4m + -2 = 8m + 17 + -6m Reorder the terms: 3 + -2 + 4m = 8m + 17 + -6m Combine like terms: 3 + -2 = 1 1 + 4m = 8m + 17 + -6m Reorder the terms: 1 + 4m = 17 + 8m + -6m Combine like terms: 8m + -6m = 2m 1 + 4m = 17 + 2m Solving 1 + 4m = 17 + 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 + 4m + -2m = 17 + 2m + -2m Combine like terms: 4m + -2m = 2m 1 + 2m = 17 + 2m + -2m Combine like terms: 2m + -2m = 0 1 + 2m = 17 + 0 1 + 2m = 17 Add '-1' to each side of the equation. 1 + -1 + 2m = 17 + -1 Combine like terms: 1 + -1 = 0 0 + 2m = 17 + -1 2m = 17 + -1 Combine like terms: 17 + -1 = 16 2m = 16 Divide each side by '2'. m = 8 Simplifying m = 8
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