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Simplifying 2(m + -5) + 12 = 3m Reorder the terms: 2(-5 + m) + 12 = 3m (-5 * 2 + m * 2) + 12 = 3m (-10 + 2m) + 12 = 3m Reorder the terms: -10 + 12 + 2m = 3m Combine like terms: -10 + 12 = 2 2 + 2m = 3m Solving 2 + 2m = 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 + 2m + -3m = 3m + -3m Combine like terms: 2m + -3m = -1m 2 + -1m = 3m + -3m Combine like terms: 3m + -3m = 0 2 + -1m = 0 Add '-2' to each side of the equation. 2 + -2 + -1m = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1m = 0 + -2 -1m = 0 + -2 Combine like terms: 0 + -2 = -2 -1m = -2 Divide each side by '-1'. m = 2 Simplifying m = 2
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