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Simplifying 2m + -5(3m + 3) = -8m + -40 Reorder the terms: 2m + -5(3 + 3m) = -8m + -40 2m + (3 * -5 + 3m * -5) = -8m + -40 2m + (-15 + -15m) = -8m + -40 Reorder the terms: -15 + 2m + -15m = -8m + -40 Combine like terms: 2m + -15m = -13m -15 + -13m = -8m + -40 Reorder the terms: -15 + -13m = -40 + -8m Solving -15 + -13m = -40 + -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 + -13m + 8m = -40 + -8m + 8m Combine like terms: -13m + 8m = -5m -15 + -5m = -40 + -8m + 8m Combine like terms: -8m + 8m = 0 -15 + -5m = -40 + 0 -15 + -5m = -40 Add '15' to each side of the equation. -15 + 15 + -5m = -40 + 15 Combine like terms: -15 + 15 = 0 0 + -5m = -40 + 15 -5m = -40 + 15 Combine like terms: -40 + 15 = -25 -5m = -25 Divide each side by '-5'. m = 5 Simplifying m = 5
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