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Simplifying -10(k + 7) + -1(k + 8) = 0 Reorder the terms: -10(7 + k) + -1(k + 8) = 0 (7 * -10 + k * -10) + -1(k + 8) = 0 (-70 + -10k) + -1(k + 8) = 0 Reorder the terms: -70 + -10k + -1(8 + k) = 0 -70 + -10k + (8 * -1 + k * -1) = 0 -70 + -10k + (-8 + -1k) = 0 Reorder the terms: -70 + -8 + -10k + -1k = 0 Combine like terms: -70 + -8 = -78 -78 + -10k + -1k = 0 Combine like terms: -10k + -1k = -11k -78 + -11k = 0 Solving -78 + -11k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '78' to each side of the equation. -78 + 78 + -11k = 0 + 78 Combine like terms: -78 + 78 = 0 0 + -11k = 0 + 78 -11k = 0 + 78 Combine like terms: 0 + 78 = 78 -11k = 78 Divide each side by '-11'. k = -7.090909091 Simplifying k = -7.090909091
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