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Simplifying -5(4 + -3k) = 6k + 52 (4 * -5 + -3k * -5) = 6k + 52 (-20 + 15k) = 6k + 52 Reorder the terms: -20 + 15k = 52 + 6k Solving -20 + 15k = 52 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. -20 + 15k + -6k = 52 + 6k + -6k Combine like terms: 15k + -6k = 9k -20 + 9k = 52 + 6k + -6k Combine like terms: 6k + -6k = 0 -20 + 9k = 52 + 0 -20 + 9k = 52 Add '20' to each side of the equation. -20 + 20 + 9k = 52 + 20 Combine like terms: -20 + 20 = 0 0 + 9k = 52 + 20 9k = 52 + 20 Combine like terms: 52 + 20 = 72 9k = 72 Divide each side by '9'. k = 8 Simplifying k = 8
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