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Simplifying 5m + -2 = 3(m + 4) Reorder the terms: -2 + 5m = 3(m + 4) Reorder the terms: -2 + 5m = 3(4 + m) -2 + 5m = (4 * 3 + m * 3) -2 + 5m = (12 + 3m) Solving -2 + 5m = 12 + 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. -2 + 5m + -3m = 12 + 3m + -3m Combine like terms: 5m + -3m = 2m -2 + 2m = 12 + 3m + -3m Combine like terms: 3m + -3m = 0 -2 + 2m = 12 + 0 -2 + 2m = 12 Add '2' to each side of the equation. -2 + 2 + 2m = 12 + 2 Combine like terms: -2 + 2 = 0 0 + 2m = 12 + 2 2m = 12 + 2 Combine like terms: 12 + 2 = 14 2m = 14 Divide each side by '2'. m = 7 Simplifying m = 7
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