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Simplifying 9(k + 5) = 2(9k + -4) Reorder the terms: 9(5 + k) = 2(9k + -4) (5 * 9 + k * 9) = 2(9k + -4) (45 + 9k) = 2(9k + -4) Reorder the terms: 45 + 9k = 2(-4 + 9k) 45 + 9k = (-4 * 2 + 9k * 2) 45 + 9k = (-8 + 18k) Solving 45 + 9k = -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. 45 + 9k + -18k = -8 + 18k + -18k Combine like terms: 9k + -18k = -9k 45 + -9k = -8 + 18k + -18k Combine like terms: 18k + -18k = 0 45 + -9k = -8 + 0 45 + -9k = -8 Add '-45' to each side of the equation. 45 + -45 + -9k = -8 + -45 Combine like terms: 45 + -45 = 0 0 + -9k = -8 + -45 -9k = -8 + -45 Combine like terms: -8 + -45 = -53 -9k = -53 Divide each side by '-9'. k = 5.888888889 Simplifying k = 5.888888889
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