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Simplifying 4(k + 5) = 2(9k + -4) Reorder the terms: 4(5 + k) = 2(9k + -4) (5 * 4 + k * 4) = 2(9k + -4) (20 + 4k) = 2(9k + -4) Reorder the terms: 20 + 4k = 2(-4 + 9k) 20 + 4k = (-4 * 2 + 9k * 2) 20 + 4k = (-8 + 18k) Solving 20 + 4k = -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. 20 + 4k + -18k = -8 + 18k + -18k Combine like terms: 4k + -18k = -14k 20 + -14k = -8 + 18k + -18k Combine like terms: 18k + -18k = 0 20 + -14k = -8 + 0 20 + -14k = -8 Add '-20' to each side of the equation. 20 + -20 + -14k = -8 + -20 Combine like terms: 20 + -20 = 0 0 + -14k = -8 + -20 -14k = -8 + -20 Combine like terms: -8 + -20 = -28 -14k = -28 Divide each side by '-14'. k = 2 Simplifying k = 2
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