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Simplifying 3(4k + 14) = 10k + -2k + -14 Reorder the terms: 3(14 + 4k) = 10k + -2k + -14 (14 * 3 + 4k * 3) = 10k + -2k + -14 (42 + 12k) = 10k + -2k + -14 Reorder the terms: 42 + 12k = -14 + 10k + -2k Combine like terms: 10k + -2k = 8k 42 + 12k = -14 + 8k Solving 42 + 12k = -14 + 8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8k' to each side of the equation. 42 + 12k + -8k = -14 + 8k + -8k Combine like terms: 12k + -8k = 4k 42 + 4k = -14 + 8k + -8k Combine like terms: 8k + -8k = 0 42 + 4k = -14 + 0 42 + 4k = -14 Add '-42' to each side of the equation. 42 + -42 + 4k = -14 + -42 Combine like terms: 42 + -42 = 0 0 + 4k = -14 + -42 4k = -14 + -42 Combine like terms: -14 + -42 = -56 4k = -56 Divide each side by '4'. k = -14 Simplifying k = -14
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