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Simplifying -8 + -5(m + 3) = 27 + 5m Reorder the terms: -8 + -5(3 + m) = 27 + 5m -8 + (3 * -5 + m * -5) = 27 + 5m -8 + (-15 + -5m) = 27 + 5m Combine like terms: -8 + -15 = -23 -23 + -5m = 27 + 5m Solving -23 + -5m = 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 + -5m + -5m = 27 + 5m + -5m Combine like terms: -5m + -5m = -10m -23 + -10m = 27 + 5m + -5m Combine like terms: 5m + -5m = 0 -23 + -10m = 27 + 0 -23 + -10m = 27 Add '23' to each side of the equation. -23 + 23 + -10m = 27 + 23 Combine like terms: -23 + 23 = 0 0 + -10m = 27 + 23 -10m = 27 + 23 Combine like terms: 27 + 23 = 50 -10m = 50 Divide each side by '-10'. m = -5 Simplifying m = -5
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