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Simplifying -4(4L + -8) + (-5L + -4) = 112 Reorder the terms: -4(-8 + 4L) + (-5L + -4) = 112 (-8 * -4 + 4L * -4) + (-5L + -4) = 112 (32 + -16L) + (-5L + -4) = 112 Reorder the terms: 32 + -16L + (-4 + -5L) = 112 Remove parenthesis around (-4 + -5L) 32 + -16L + -4 + -5L = 112 Reorder the terms: 32 + -4 + -16L + -5L = 112 Combine like terms: 32 + -4 = 28 28 + -16L + -5L = 112 Combine like terms: -16L + -5L = -21L 28 + -21L = 112 Solving 28 + -21L = 112 Solving for variable 'L'. Move all terms containing L to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + -21L = 112 + -28 Combine like terms: 28 + -28 = 0 0 + -21L = 112 + -28 -21L = 112 + -28 Combine like terms: 112 + -28 = 84 -21L = 84 Divide each side by '-21'. L = -4 Simplifying L = -4
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