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Simplifying 6(m + -8) = 5(m + -6) Reorder the terms: 6(-8 + m) = 5(m + -6) (-8 * 6 + m * 6) = 5(m + -6) (-48 + 6m) = 5(m + -6) Reorder the terms: -48 + 6m = 5(-6 + m) -48 + 6m = (-6 * 5 + m * 5) -48 + 6m = (-30 + 5m) Solving -48 + 6m = -30 + 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. -48 + 6m + -5m = -30 + 5m + -5m Combine like terms: 6m + -5m = 1m -48 + 1m = -30 + 5m + -5m Combine like terms: 5m + -5m = 0 -48 + 1m = -30 + 0 -48 + 1m = -30 Add '48' to each side of the equation. -48 + 48 + 1m = -30 + 48 Combine like terms: -48 + 48 = 0 0 + 1m = -30 + 48 1m = -30 + 48 Combine like terms: -30 + 48 = 18 1m = 18 Divide each side by '1'. m = 18 Simplifying m = 18
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