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Simplifying 8(2k + 2) = -2(6k + 6) Reorder the terms: 8(2 + 2k) = -2(6k + 6) (2 * 8 + 2k * 8) = -2(6k + 6) (16 + 16k) = -2(6k + 6) Reorder the terms: 16 + 16k = -2(6 + 6k) 16 + 16k = (6 * -2 + 6k * -2) 16 + 16k = (-12 + -12k) Solving 16 + 16k = -12 + -12k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '12k' to each side of the equation. 16 + 16k + 12k = -12 + -12k + 12k Combine like terms: 16k + 12k = 28k 16 + 28k = -12 + -12k + 12k Combine like terms: -12k + 12k = 0 16 + 28k = -12 + 0 16 + 28k = -12 Add '-16' to each side of the equation. 16 + -16 + 28k = -12 + -16 Combine like terms: 16 + -16 = 0 0 + 28k = -12 + -16 28k = -12 + -16 Combine like terms: -12 + -16 = -28 28k = -28 Divide each side by '28'. k = -1 Simplifying k = -1
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