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Simplifying -7(2k + -5) = -5 + -4k Reorder the terms: -7(-5 + 2k) = -5 + -4k (-5 * -7 + 2k * -7) = -5 + -4k (35 + -14k) = -5 + -4k Solving 35 + -14k = -5 + -4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4k' to each side of the equation. 35 + -14k + 4k = -5 + -4k + 4k Combine like terms: -14k + 4k = -10k 35 + -10k = -5 + -4k + 4k Combine like terms: -4k + 4k = 0 35 + -10k = -5 + 0 35 + -10k = -5 Add '-35' to each side of the equation. 35 + -35 + -10k = -5 + -35 Combine like terms: 35 + -35 = 0 0 + -10k = -5 + -35 -10k = -5 + -35 Combine like terms: -5 + -35 = -40 -10k = -40 Divide each side by '-10'. k = 4 Simplifying k = 4
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