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Simplifying 3(k + 5) = 2(9k + -4) Reorder the terms: 3(5 + k) = 2(9k + -4) (5 * 3 + k * 3) = 2(9k + -4) (15 + 3k) = 2(9k + -4) Reorder the terms: 15 + 3k = 2(-4 + 9k) 15 + 3k = (-4 * 2 + 9k * 2) 15 + 3k = (-8 + 18k) Solving 15 + 3k = -8 + 18k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-18k' to each side of the equation. 15 + 3k + -18k = -8 + 18k + -18k Combine like terms: 3k + -18k = -15k 15 + -15k = -8 + 18k + -18k Combine like terms: 18k + -18k = 0 15 + -15k = -8 + 0 15 + -15k = -8 Add '-15' to each side of the equation. 15 + -15 + -15k = -8 + -15 Combine like terms: 15 + -15 = 0 0 + -15k = -8 + -15 -15k = -8 + -15 Combine like terms: -8 + -15 = -23 -15k = -23 Divide each side by '-15'. k = 1.533333333 Simplifying k = 1.533333333
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