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Simplifying 2.5L + (-3) + 6L = 0.5(L + -8) 2.5L + -3 + 6L = 0.5(L + -8) Reorder the terms: -3 + 2.5L + 6L = 0.5(L + -8) Combine like terms: 2.5L + 6L = 8.5L -3 + 8.5L = 0.5(L + -8) Reorder the terms: -3 + 8.5L = 0.5(-8 + L) -3 + 8.5L = (-8 * 0.5 + L * 0.5) -3 + 8.5L = (-4 + 0.5L) Solving -3 + 8.5L = -4 + 0.5L Solving for variable 'L'. Move all terms containing L to the left, all other terms to the right. Add '-0.5L' to each side of the equation. -3 + 8.5L + -0.5L = -4 + 0.5L + -0.5L Combine like terms: 8.5L + -0.5L = 8L -3 + 8L = -4 + 0.5L + -0.5L Combine like terms: 0.5L + -0.5L = 0.0 -3 + 8L = -4 + 0.0 -3 + 8L = -4 Add '3' to each side of the equation. -3 + 3 + 8L = -4 + 3 Combine like terms: -3 + 3 = 0 0 + 8L = -4 + 3 8L = -4 + 3 Combine like terms: -4 + 3 = -1 8L = -1 Divide each side by '8'. L = -0.125 Simplifying L = -0.125
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