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Simplifying 3m + 6 = 8(m + 7) Reorder the terms: 6 + 3m = 8(m + 7) Reorder the terms: 6 + 3m = 8(7 + m) 6 + 3m = (7 * 8 + m * 8) 6 + 3m = (56 + 8m) Solving 6 + 3m = 56 + 8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8m' to each side of the equation. 6 + 3m + -8m = 56 + 8m + -8m Combine like terms: 3m + -8m = -5m 6 + -5m = 56 + 8m + -8m Combine like terms: 8m + -8m = 0 6 + -5m = 56 + 0 6 + -5m = 56 Add '-6' to each side of the equation. 6 + -6 + -5m = 56 + -6 Combine like terms: 6 + -6 = 0 0 + -5m = 56 + -6 -5m = 56 + -6 Combine like terms: 56 + -6 = 50 -5m = 50 Divide each side by '-5'. m = -10 Simplifying m = -10
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