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Simplifying -5(m + -8) = 27 + -7m Reorder the terms: -5(-8 + m) = 27 + -7m (-8 * -5 + m * -5) = 27 + -7m (40 + -5m) = 27 + -7m Solving 40 + -5m = 27 + -7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '7m' to each side of the equation. 40 + -5m + 7m = 27 + -7m + 7m Combine like terms: -5m + 7m = 2m 40 + 2m = 27 + -7m + 7m Combine like terms: -7m + 7m = 0 40 + 2m = 27 + 0 40 + 2m = 27 Add '-40' to each side of the equation. 40 + -40 + 2m = 27 + -40 Combine like terms: 40 + -40 = 0 0 + 2m = 27 + -40 2m = 27 + -40 Combine like terms: 27 + -40 = -13 2m = -13 Divide each side by '2'. m = -6.5 Simplifying m = -6.5
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