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Simplifying 3m + 2(m + -4) = m + 12 Reorder the terms: 3m + 2(-4 + m) = m + 12 3m + (-4 * 2 + m * 2) = m + 12 3m + (-8 + 2m) = m + 12 Reorder the terms: -8 + 3m + 2m = m + 12 Combine like terms: 3m + 2m = 5m -8 + 5m = m + 12 Reorder the terms: -8 + 5m = 12 + m Solving -8 + 5m = 12 + m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1m' to each side of the equation. -8 + 5m + -1m = 12 + m + -1m Combine like terms: 5m + -1m = 4m -8 + 4m = 12 + m + -1m Combine like terms: m + -1m = 0 -8 + 4m = 12 + 0 -8 + 4m = 12 Add '8' to each side of the equation. -8 + 8 + 4m = 12 + 8 Combine like terms: -8 + 8 = 0 0 + 4m = 12 + 8 4m = 12 + 8 Combine like terms: 12 + 8 = 20 4m = 20 Divide each side by '4'. m = 5 Simplifying m = 5
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