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Simplifying 2 + 3(m + 4) = 5(m + -8) Reorder the terms: 2 + 3(4 + m) = 5(m + -8) 2 + (4 * 3 + m * 3) = 5(m + -8) 2 + (12 + 3m) = 5(m + -8) Combine like terms: 2 + 12 = 14 14 + 3m = 5(m + -8) Reorder the terms: 14 + 3m = 5(-8 + m) 14 + 3m = (-8 * 5 + m * 5) 14 + 3m = (-40 + 5m) Solving 14 + 3m = -40 + 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. 14 + 3m + -5m = -40 + 5m + -5m Combine like terms: 3m + -5m = -2m 14 + -2m = -40 + 5m + -5m Combine like terms: 5m + -5m = 0 14 + -2m = -40 + 0 14 + -2m = -40 Add '-14' to each side of the equation. 14 + -14 + -2m = -40 + -14 Combine like terms: 14 + -14 = 0 0 + -2m = -40 + -14 -2m = -40 + -14 Combine like terms: -40 + -14 = -54 -2m = -54 Divide each side by '-2'. m = 27 Simplifying m = 27
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