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Simplifying (6k + 10) + -1(k + -8) = 0 Reorder the terms: (10 + 6k) + -1(k + -8) = 0 Remove parenthesis around (10 + 6k) 10 + 6k + -1(k + -8) = 0 Reorder the terms: 10 + 6k + -1(-8 + k) = 0 10 + 6k + (-8 * -1 + k * -1) = 0 10 + 6k + (8 + -1k) = 0 Reorder the terms: 10 + 8 + 6k + -1k = 0 Combine like terms: 10 + 8 = 18 18 + 6k + -1k = 0 Combine like terms: 6k + -1k = 5k 18 + 5k = 0 Solving 18 + 5k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 5k = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 5k = 0 + -18 5k = 0 + -18 Combine like terms: 0 + -18 = -18 5k = -18 Divide each side by '5'. k = -3.6 Simplifying k = -3.6
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