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Simplifying -2(8k + -5) = -35 + -1k Reorder the terms: -2(-5 + 8k) = -35 + -1k (-5 * -2 + 8k * -2) = -35 + -1k (10 + -16k) = -35 + -1k Solving 10 + -16k = -35 + -1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add 'k' to each side of the equation. 10 + -16k + k = -35 + -1k + k Combine like terms: -16k + k = -15k 10 + -15k = -35 + -1k + k Combine like terms: -1k + k = 0 10 + -15k = -35 + 0 10 + -15k = -35 Add '-10' to each side of the equation. 10 + -10 + -15k = -35 + -10 Combine like terms: 10 + -10 = 0 0 + -15k = -35 + -10 -15k = -35 + -10 Combine like terms: -35 + -10 = -45 -15k = -45 Divide each side by '-15'. k = 3 Simplifying k = 3
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