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Simplifying 5(m + -7) = m + -27 Reorder the terms: 5(-7 + m) = m + -27 (-7 * 5 + m * 5) = m + -27 (-35 + 5m) = m + -27 Reorder the terms: -35 + 5m = -27 + m Solving -35 + 5m = -27 + m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1m' to each side of the equation. -35 + 5m + -1m = -27 + m + -1m Combine like terms: 5m + -1m = 4m -35 + 4m = -27 + m + -1m Combine like terms: m + -1m = 0 -35 + 4m = -27 + 0 -35 + 4m = -27 Add '35' to each side of the equation. -35 + 35 + 4m = -27 + 35 Combine like terms: -35 + 35 = 0 0 + 4m = -27 + 35 4m = -27 + 35 Combine like terms: -27 + 35 = 8 4m = 8 Divide each side by '4'. m = 2 Simplifying m = 2
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