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Simplifying 5(3k + 3) = (4k + -4) Reorder the terms: 5(3 + 3k) = (4k + -4) (3 * 5 + 3k * 5) = (4k + -4) (15 + 15k) = (4k + -4) Reorder the terms: 15 + 15k = (-4 + 4k) Remove parenthesis around (-4 + 4k) 15 + 15k = -4 + 4k Solving 15 + 15k = -4 + 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. 15 + 15k + -4k = -4 + 4k + -4k Combine like terms: 15k + -4k = 11k 15 + 11k = -4 + 4k + -4k Combine like terms: 4k + -4k = 0 15 + 11k = -4 + 0 15 + 11k = -4 Add '-15' to each side of the equation. 15 + -15 + 11k = -4 + -15 Combine like terms: 15 + -15 = 0 0 + 11k = -4 + -15 11k = -4 + -15 Combine like terms: -4 + -15 = -19 11k = -19 Divide each side by '11'. k = -1.727272727 Simplifying k = -1.727272727
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