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Simplifying 2m + 5(m + -6) = 3m + 14 Reorder the terms: 2m + 5(-6 + m) = 3m + 14 2m + (-6 * 5 + m * 5) = 3m + 14 2m + (-30 + 5m) = 3m + 14 Reorder the terms: -30 + 2m + 5m = 3m + 14 Combine like terms: 2m + 5m = 7m -30 + 7m = 3m + 14 Reorder the terms: -30 + 7m = 14 + 3m Solving -30 + 7m = 14 + 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. -30 + 7m + -3m = 14 + 3m + -3m Combine like terms: 7m + -3m = 4m -30 + 4m = 14 + 3m + -3m Combine like terms: 3m + -3m = 0 -30 + 4m = 14 + 0 -30 + 4m = 14 Add '30' to each side of the equation. -30 + 30 + 4m = 14 + 30 Combine like terms: -30 + 30 = 0 0 + 4m = 14 + 30 4m = 14 + 30 Combine like terms: 14 + 30 = 44 4m = 44 Divide each side by '4'. m = 11 Simplifying m = 11
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