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Simplifying 120 = 2L + 2(L + -12) Reorder the terms: 120 = 2L + 2(-12 + L) 120 = 2L + (-12 * 2 + L * 2) 120 = 2L + (-24 + 2L) Reorder the terms: 120 = -24 + 2L + 2L Combine like terms: 2L + 2L = 4L 120 = -24 + 4L Solving 120 = -24 + 4L Solving for variable 'L'. Move all terms containing L to the left, all other terms to the right. Add '-4L' to each side of the equation. 120 + -4L = -24 + 4L + -4L Combine like terms: 4L + -4L = 0 120 + -4L = -24 + 0 120 + -4L = -24 Add '-120' to each side of the equation. 120 + -120 + -4L = -24 + -120 Combine like terms: 120 + -120 = 0 0 + -4L = -24 + -120 -4L = -24 + -120 Combine like terms: -24 + -120 = -144 -4L = -144 Divide each side by '-4'. L = 36 Simplifying L = 36
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