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Simplifying 3(m + -5) = -8 + 2m Reorder the terms: 3(-5 + m) = -8 + 2m (-5 * 3 + m * 3) = -8 + 2m (-15 + 3m) = -8 + 2m Solving -15 + 3m = -8 + 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. -15 + 3m + -2m = -8 + 2m + -2m Combine like terms: 3m + -2m = 1m -15 + 1m = -8 + 2m + -2m Combine like terms: 2m + -2m = 0 -15 + 1m = -8 + 0 -15 + 1m = -8 Add '15' to each side of the equation. -15 + 15 + 1m = -8 + 15 Combine like terms: -15 + 15 = 0 0 + 1m = -8 + 15 1m = -8 + 15 Combine like terms: -8 + 15 = 7 1m = 7 Divide each side by '1'. m = 7 Simplifying m = 7
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