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Simplifying 5(m + -6) = 6(m + -8) Reorder the terms: 5(-6 + m) = 6(m + -8) (-6 * 5 + m * 5) = 6(m + -8) (-30 + 5m) = 6(m + -8) Reorder the terms: -30 + 5m = 6(-8 + m) -30 + 5m = (-8 * 6 + m * 6) -30 + 5m = (-48 + 6m) Solving -30 + 5m = -48 + 6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6m' to each side of the equation. -30 + 5m + -6m = -48 + 6m + -6m Combine like terms: 5m + -6m = -1m -30 + -1m = -48 + 6m + -6m Combine like terms: 6m + -6m = 0 -30 + -1m = -48 + 0 -30 + -1m = -48 Add '30' to each side of the equation. -30 + 30 + -1m = -48 + 30 Combine like terms: -30 + 30 = 0 0 + -1m = -48 + 30 -1m = -48 + 30 Combine like terms: -48 + 30 = -18 -1m = -18 Divide each side by '-1'. m = 18 Simplifying m = 18
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