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Simplifying 4k + 4 = 2(6k + -14) + 64 Reorder the terms: 4 + 4k = 2(6k + -14) + 64 Reorder the terms: 4 + 4k = 2(-14 + 6k) + 64 4 + 4k = (-14 * 2 + 6k * 2) + 64 4 + 4k = (-28 + 12k) + 64 Reorder the terms: 4 + 4k = -28 + 64 + 12k Combine like terms: -28 + 64 = 36 4 + 4k = 36 + 12k Solving 4 + 4k = 36 + 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. 4 + 4k + -12k = 36 + 12k + -12k Combine like terms: 4k + -12k = -8k 4 + -8k = 36 + 12k + -12k Combine like terms: 12k + -12k = 0 4 + -8k = 36 + 0 4 + -8k = 36 Add '-4' to each side of the equation. 4 + -4 + -8k = 36 + -4 Combine like terms: 4 + -4 = 0 0 + -8k = 36 + -4 -8k = 36 + -4 Combine like terms: 36 + -4 = 32 -8k = 32 Divide each side by '-8'. k = -4 Simplifying k = -4
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