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Simplifying 4k + 5 = 2(9k + -4) Reorder the terms: 5 + 4k = 2(9k + -4) Reorder the terms: 5 + 4k = 2(-4 + 9k) 5 + 4k = (-4 * 2 + 9k * 2) 5 + 4k = (-8 + 18k) Solving 5 + 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. 5 + 4k + -18k = -8 + 18k + -18k Combine like terms: 4k + -18k = -14k 5 + -14k = -8 + 18k + -18k Combine like terms: 18k + -18k = 0 5 + -14k = -8 + 0 5 + -14k = -8 Add '-5' to each side of the equation. 5 + -5 + -14k = -8 + -5 Combine like terms: 5 + -5 = 0 0 + -14k = -8 + -5 -14k = -8 + -5 Combine like terms: -8 + -5 = -13 -14k = -13 Divide each side by '-14'. k = 0.9285714286 Simplifying k = 0.9285714286
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