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Simplifying 14 + -3(m + 6) = 2(m + 1) Reorder the terms: 14 + -3(6 + m) = 2(m + 1) 14 + (6 * -3 + m * -3) = 2(m + 1) 14 + (-18 + -3m) = 2(m + 1) Combine like terms: 14 + -18 = -4 -4 + -3m = 2(m + 1) Reorder the terms: -4 + -3m = 2(1 + m) -4 + -3m = (1 * 2 + m * 2) -4 + -3m = (2 + 2m) Solving -4 + -3m = 2 + 2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. -4 + -3m + -2m = 2 + 2m + -2m Combine like terms: -3m + -2m = -5m -4 + -5m = 2 + 2m + -2m Combine like terms: 2m + -2m = 0 -4 + -5m = 2 + 0 -4 + -5m = 2 Add '4' to each side of the equation. -4 + 4 + -5m = 2 + 4 Combine like terms: -4 + 4 = 0 0 + -5m = 2 + 4 -5m = 2 + 4 Combine like terms: 2 + 4 = 6 -5m = 6 Divide each side by '-5'. m = -1.2 Simplifying m = -1.2
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