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Simplifying 3(m + -8) = 8(m + 2) + -10 Reorder the terms: 3(-8 + m) = 8(m + 2) + -10 (-8 * 3 + m * 3) = 8(m + 2) + -10 (-24 + 3m) = 8(m + 2) + -10 Reorder the terms: -24 + 3m = 8(2 + m) + -10 -24 + 3m = (2 * 8 + m * 8) + -10 -24 + 3m = (16 + 8m) + -10 Reorder the terms: -24 + 3m = 16 + -10 + 8m Combine like terms: 16 + -10 = 6 -24 + 3m = 6 + 8m Solving -24 + 3m = 6 + 8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8m' to each side of the equation. -24 + 3m + -8m = 6 + 8m + -8m Combine like terms: 3m + -8m = -5m -24 + -5m = 6 + 8m + -8m Combine like terms: 8m + -8m = 0 -24 + -5m = 6 + 0 -24 + -5m = 6 Add '24' to each side of the equation. -24 + 24 + -5m = 6 + 24 Combine like terms: -24 + 24 = 0 0 + -5m = 6 + 24 -5m = 6 + 24 Combine like terms: 6 + 24 = 30 -5m = 30 Divide each side by '-5'. m = -6 Simplifying m = -6
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