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Simplifying 2(m + -8) = 2 + 5(m + 6) Reorder the terms: 2(-8 + m) = 2 + 5(m + 6) (-8 * 2 + m * 2) = 2 + 5(m + 6) (-16 + 2m) = 2 + 5(m + 6) Reorder the terms: -16 + 2m = 2 + 5(6 + m) -16 + 2m = 2 + (6 * 5 + m * 5) -16 + 2m = 2 + (30 + 5m) Combine like terms: 2 + 30 = 32 -16 + 2m = 32 + 5m Solving -16 + 2m = 32 + 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. -16 + 2m + -5m = 32 + 5m + -5m Combine like terms: 2m + -5m = -3m -16 + -3m = 32 + 5m + -5m Combine like terms: 5m + -5m = 0 -16 + -3m = 32 + 0 -16 + -3m = 32 Add '16' to each side of the equation. -16 + 16 + -3m = 32 + 16 Combine like terms: -16 + 16 = 0 0 + -3m = 32 + 16 -3m = 32 + 16 Combine like terms: 32 + 16 = 48 -3m = 48 Divide each side by '-3'. m = -16 Simplifying m = -16
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