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Simplifying -5(k + -3) + -1(8k + -6) = -14 Reorder the terms: -5(-3 + k) + -1(8k + -6) = -14 (-3 * -5 + k * -5) + -1(8k + -6) = -14 (15 + -5k) + -1(8k + -6) = -14 Reorder the terms: 15 + -5k + -1(-6 + 8k) = -14 15 + -5k + (-6 * -1 + 8k * -1) = -14 15 + -5k + (6 + -8k) = -14 Reorder the terms: 15 + 6 + -5k + -8k = -14 Combine like terms: 15 + 6 = 21 21 + -5k + -8k = -14 Combine like terms: -5k + -8k = -13k 21 + -13k = -14 Solving 21 + -13k = -14 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + -13k = -14 + -21 Combine like terms: 21 + -21 = 0 0 + -13k = -14 + -21 -13k = -14 + -21 Combine like terms: -14 + -21 = -35 -13k = -35 Divide each side by '-13'. k = 2.692307692 Simplifying k = 2.692307692
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