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Simplifying 3m + 8 = 6m + -7 Reorder the terms: 8 + 3m = 6m + -7 Reorder the terms: 8 + 3m = -7 + 6m Solving 8 + 3m = -7 + 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. 8 + 3m + -6m = -7 + 6m + -6m Combine like terms: 3m + -6m = -3m 8 + -3m = -7 + 6m + -6m Combine like terms: 6m + -6m = 0 8 + -3m = -7 + 0 8 + -3m = -7 Add '-8' to each side of the equation. 8 + -8 + -3m = -7 + -8 Combine like terms: 8 + -8 = 0 0 + -3m = -7 + -8 -3m = -7 + -8 Combine like terms: -7 + -8 = -15 -3m = -15 Divide each side by '-3'. m = 5 Simplifying m = 5
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