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Simplifying 78 = 6(m + 3) Reorder the terms: 78 = 6(3 + m) 78 = (3 * 6 + m * 6) 78 = (18 + 6m) Solving 78 = 18 + 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. 78 + -6m = 18 + 6m + -6m Combine like terms: 6m + -6m = 0 78 + -6m = 18 + 0 78 + -6m = 18 Add '-78' to each side of the equation. 78 + -78 + -6m = 18 + -78 Combine like terms: 78 + -78 = 0 0 + -6m = 18 + -78 -6m = 18 + -78 Combine like terms: 18 + -78 = -60 -6m = -60 Divide each side by '-6'. m = 10 Simplifying m = 10
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