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Simplifying 2(m + -3) = 5(m + 4) + -11 Reorder the terms: 2(-3 + m) = 5(m + 4) + -11 (-3 * 2 + m * 2) = 5(m + 4) + -11 (-6 + 2m) = 5(m + 4) + -11 Reorder the terms: -6 + 2m = 5(4 + m) + -11 -6 + 2m = (4 * 5 + m * 5) + -11 -6 + 2m = (20 + 5m) + -11 Reorder the terms: -6 + 2m = 20 + -11 + 5m Combine like terms: 20 + -11 = 9 -6 + 2m = 9 + 5m Solving -6 + 2m = 9 + 5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5m' to each side of the equation. -6 + 2m + -5m = 9 + 5m + -5m Combine like terms: 2m + -5m = -3m -6 + -3m = 9 + 5m + -5m Combine like terms: 5m + -5m = 0 -6 + -3m = 9 + 0 -6 + -3m = 9 Add '6' to each side of the equation. -6 + 6 + -3m = 9 + 6 Combine like terms: -6 + 6 = 0 0 + -3m = 9 + 6 -3m = 9 + 6 Combine like terms: 9 + 6 = 15 -3m = 15 Divide each side by '-3'. m = -5 Simplifying m = -5
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