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Simplifying 12m + -6 = 3m + 3(m + 5) Reorder the terms: -6 + 12m = 3m + 3(m + 5) Reorder the terms: -6 + 12m = 3m + 3(5 + m) -6 + 12m = 3m + (5 * 3 + m * 3) -6 + 12m = 3m + (15 + 3m) Reorder the terms: -6 + 12m = 15 + 3m + 3m Combine like terms: 3m + 3m = 6m -6 + 12m = 15 + 6m Solving -6 + 12m = 15 + 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. -6 + 12m + -6m = 15 + 6m + -6m Combine like terms: 12m + -6m = 6m -6 + 6m = 15 + 6m + -6m Combine like terms: 6m + -6m = 0 -6 + 6m = 15 + 0 -6 + 6m = 15 Add '6' to each side of the equation. -6 + 6 + 6m = 15 + 6 Combine like terms: -6 + 6 = 0 0 + 6m = 15 + 6 6m = 15 + 6 Combine like terms: 15 + 6 = 21 6m = 21 Divide each side by '6'. m = 3.5 Simplifying m = 3.5
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