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Simplifying 2k + 8 + -2k = -8(k + -8) + -2(-6k + 6) Reorder the terms: 8 + 2k + -2k = -8(k + -8) + -2(-6k + 6) Combine like terms: 2k + -2k = 0 8 + 0 = -8(k + -8) + -2(-6k + 6) 8 = -8(k + -8) + -2(-6k + 6) Reorder the terms: 8 = -8(-8 + k) + -2(-6k + 6) 8 = (-8 * -8 + k * -8) + -2(-6k + 6) 8 = (64 + -8k) + -2(-6k + 6) Reorder the terms: 8 = 64 + -8k + -2(6 + -6k) 8 = 64 + -8k + (6 * -2 + -6k * -2) 8 = 64 + -8k + (-12 + 12k) Reorder the terms: 8 = 64 + -12 + -8k + 12k Combine like terms: 64 + -12 = 52 8 = 52 + -8k + 12k Combine like terms: -8k + 12k = 4k 8 = 52 + 4k Solving 8 = 52 + 4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4k' to each side of the equation. 8 + -4k = 52 + 4k + -4k Combine like terms: 4k + -4k = 0 8 + -4k = 52 + 0 8 + -4k = 52 Add '-8' to each side of the equation. 8 + -8 + -4k = 52 + -8 Combine like terms: 8 + -8 = 0 0 + -4k = 52 + -8 -4k = 52 + -8 Combine like terms: 52 + -8 = 44 -4k = 44 Divide each side by '-4'. k = -11 Simplifying k = -11
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