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Simplifying -27 + -5m = -6(5m + -8) Reorder the terms: -27 + -5m = -6(-8 + 5m) -27 + -5m = (-8 * -6 + 5m * -6) -27 + -5m = (48 + -30m) Solving -27 + -5m = 48 + -30m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '30m' to each side of the equation. -27 + -5m + 30m = 48 + -30m + 30m Combine like terms: -5m + 30m = 25m -27 + 25m = 48 + -30m + 30m Combine like terms: -30m + 30m = 0 -27 + 25m = 48 + 0 -27 + 25m = 48 Add '27' to each side of the equation. -27 + 27 + 25m = 48 + 27 Combine like terms: -27 + 27 = 0 0 + 25m = 48 + 27 25m = 48 + 27 Combine like terms: 48 + 27 = 75 25m = 75 Divide each side by '25'. m = 3 Simplifying m = 3
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