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Simplifying -2(7 + 8k) = 6(1 + -2k) (7 * -2 + 8k * -2) = 6(1 + -2k) (-14 + -16k) = 6(1 + -2k) -14 + -16k = (1 * 6 + -2k * 6) -14 + -16k = (6 + -12k) Solving -14 + -16k = 6 + -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. -14 + -16k + 12k = 6 + -12k + 12k Combine like terms: -16k + 12k = -4k -14 + -4k = 6 + -12k + 12k Combine like terms: -12k + 12k = 0 -14 + -4k = 6 + 0 -14 + -4k = 6 Add '14' to each side of the equation. -14 + 14 + -4k = 6 + 14 Combine like terms: -14 + 14 = 0 0 + -4k = 6 + 14 -4k = 6 + 14 Combine like terms: 6 + 14 = 20 -4k = 20 Divide each side by '-4'. k = -5 Simplifying k = -5
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