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Simplifying -5(4 + -6m) + -3 = 27 + 5m (4 * -5 + -6m * -5) + -3 = 27 + 5m (-20 + 30m) + -3 = 27 + 5m Reorder the terms: -20 + -3 + 30m = 27 + 5m Combine like terms: -20 + -3 = -23 -23 + 30m = 27 + 5m Solving -23 + 30m = 27 + 5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5m' to each side of the equation. -23 + 30m + -5m = 27 + 5m + -5m Combine like terms: 30m + -5m = 25m -23 + 25m = 27 + 5m + -5m Combine like terms: 5m + -5m = 0 -23 + 25m = 27 + 0 -23 + 25m = 27 Add '23' to each side of the equation. -23 + 23 + 25m = 27 + 23 Combine like terms: -23 + 23 = 0 0 + 25m = 27 + 23 25m = 27 + 23 Combine like terms: 27 + 23 = 50 25m = 50 Divide each side by '25'. m = 2 Simplifying m = 2
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