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Simplifying 5 + 2(m + 4) = 5(m + -3) + 10 Reorder the terms: 5 + 2(4 + m) = 5(m + -3) + 10 5 + (4 * 2 + m * 2) = 5(m + -3) + 10 5 + (8 + 2m) = 5(m + -3) + 10 Combine like terms: 5 + 8 = 13 13 + 2m = 5(m + -3) + 10 Reorder the terms: 13 + 2m = 5(-3 + m) + 10 13 + 2m = (-3 * 5 + m * 5) + 10 13 + 2m = (-15 + 5m) + 10 Reorder the terms: 13 + 2m = -15 + 10 + 5m Combine like terms: -15 + 10 = -5 13 + 2m = -5 + 5m Solving 13 + 2m = -5 + 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. 13 + 2m + -5m = -5 + 5m + -5m Combine like terms: 2m + -5m = -3m 13 + -3m = -5 + 5m + -5m Combine like terms: 5m + -5m = 0 13 + -3m = -5 + 0 13 + -3m = -5 Add '-13' to each side of the equation. 13 + -13 + -3m = -5 + -13 Combine like terms: 13 + -13 = 0 0 + -3m = -5 + -13 -3m = -5 + -13 Combine like terms: -5 + -13 = -18 -3m = -18 Divide each side by '-3'. m = 6 Simplifying m = 6
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