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Simplifying 5(m + -3) = 27 + -2m Reorder the terms: 5(-3 + m) = 27 + -2m (-3 * 5 + m * 5) = 27 + -2m (-15 + 5m) = 27 + -2m Solving -15 + 5m = 27 + -2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '2m' to each side of the equation. -15 + 5m + 2m = 27 + -2m + 2m Combine like terms: 5m + 2m = 7m -15 + 7m = 27 + -2m + 2m Combine like terms: -2m + 2m = 0 -15 + 7m = 27 + 0 -15 + 7m = 27 Add '15' to each side of the equation. -15 + 15 + 7m = 27 + 15 Combine like terms: -15 + 15 = 0 0 + 7m = 27 + 15 7m = 27 + 15 Combine like terms: 27 + 15 = 42 7m = 42 Divide each side by '7'. m = 6 Simplifying m = 6
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