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Simplifying 2(m + -6) = 3(4 + -1m) + 1 Reorder the terms: 2(-6 + m) = 3(4 + -1m) + 1 (-6 * 2 + m * 2) = 3(4 + -1m) + 1 (-12 + 2m) = 3(4 + -1m) + 1 -12 + 2m = (4 * 3 + -1m * 3) + 1 -12 + 2m = (12 + -3m) + 1 Reorder the terms: -12 + 2m = 12 + 1 + -3m Combine like terms: 12 + 1 = 13 -12 + 2m = 13 + -3m Solving -12 + 2m = 13 + -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. -12 + 2m + 3m = 13 + -3m + 3m Combine like terms: 2m + 3m = 5m -12 + 5m = 13 + -3m + 3m Combine like terms: -3m + 3m = 0 -12 + 5m = 13 + 0 -12 + 5m = 13 Add '12' to each side of the equation. -12 + 12 + 5m = 13 + 12 Combine like terms: -12 + 12 = 0 0 + 5m = 13 + 12 5m = 13 + 12 Combine like terms: 13 + 12 = 25 5m = 25 Divide each side by '5'. m = 5 Simplifying m = 5
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