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Simplifying 7(-1 + 6k) + -2(5k + -8) = 9 (-1 * 7 + 6k * 7) + -2(5k + -8) = 9 (-7 + 42k) + -2(5k + -8) = 9 Reorder the terms: -7 + 42k + -2(-8 + 5k) = 9 -7 + 42k + (-8 * -2 + 5k * -2) = 9 -7 + 42k + (16 + -10k) = 9 Reorder the terms: -7 + 16 + 42k + -10k = 9 Combine like terms: -7 + 16 = 9 9 + 42k + -10k = 9 Combine like terms: 42k + -10k = 32k 9 + 32k = 9 Add '-9' to each side of the equation. 9 + -9 + 32k = 9 + -9 Combine like terms: 9 + -9 = 0 0 + 32k = 9 + -9 32k = 9 + -9 Combine like terms: 9 + -9 = 0 32k = 0 Solving 32k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Divide each side by '32'. k = 0 Simplifying k = 0
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