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Simplifying -6(7 + 8k) + -2k = 8 (7 * -6 + 8k * -6) + -2k = 8 (-42 + -48k) + -2k = 8 Combine like terms: -48k + -2k = -50k -42 + -50k = 8 Solving -42 + -50k = 8 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + -50k = 8 + 42 Combine like terms: -42 + 42 = 0 0 + -50k = 8 + 42 -50k = 8 + 42 Combine like terms: 8 + 42 = 50 -50k = 50 Divide each side by '-50'. k = -1 Simplifying k = -1
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