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Simplifying 6(m + -7) + 8 = 3m + 15 Reorder the terms: 6(-7 + m) + 8 = 3m + 15 (-7 * 6 + m * 6) + 8 = 3m + 15 (-42 + 6m) + 8 = 3m + 15 Reorder the terms: -42 + 8 + 6m = 3m + 15 Combine like terms: -42 + 8 = -34 -34 + 6m = 3m + 15 Reorder the terms: -34 + 6m = 15 + 3m Solving -34 + 6m = 15 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. -34 + 6m + -3m = 15 + 3m + -3m Combine like terms: 6m + -3m = 3m -34 + 3m = 15 + 3m + -3m Combine like terms: 3m + -3m = 0 -34 + 3m = 15 + 0 -34 + 3m = 15 Add '34' to each side of the equation. -34 + 34 + 3m = 15 + 34 Combine like terms: -34 + 34 = 0 0 + 3m = 15 + 34 3m = 15 + 34 Combine like terms: 15 + 34 = 49 3m = 49 Divide each side by '3'. m = 16.33333333 Simplifying m = 16.33333333
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