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Simplifying 3(2m + -5) = 8m + -9 Reorder the terms: 3(-5 + 2m) = 8m + -9 (-5 * 3 + 2m * 3) = 8m + -9 (-15 + 6m) = 8m + -9 Reorder the terms: -15 + 6m = -9 + 8m Solving -15 + 6m = -9 + 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. -15 + 6m + -8m = -9 + 8m + -8m Combine like terms: 6m + -8m = -2m -15 + -2m = -9 + 8m + -8m Combine like terms: 8m + -8m = 0 -15 + -2m = -9 + 0 -15 + -2m = -9 Add '15' to each side of the equation. -15 + 15 + -2m = -9 + 15 Combine like terms: -15 + 15 = 0 0 + -2m = -9 + 15 -2m = -9 + 15 Combine like terms: -9 + 15 = 6 -2m = 6 Divide each side by '-2'. m = -3 Simplifying m = -3
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