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