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Simplifying -6(2k + 7) = -8k + -14 Reorder the terms: -6(7 + 2k) = -8k + -14 (7 * -6 + 2k * -6) = -8k + -14 (-42 + -12k) = -8k + -14 Reorder the terms: -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 = 28 -4k = 28 Divide each side by '-4'. k = -7 Simplifying k = -7
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