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Simplifying 4(k * 5) = 2(9k + -4) Reorder the terms for easier multiplication: 4(5k) = 2(9k + -4) Remove parenthesis around (5k) 4 * 5k = 2(9k + -4) Multiply 4 * 5 20k = 2(9k + -4) Reorder the terms: 20k = 2(-4 + 9k) 20k = (-4 * 2 + 9k * 2) 20k = (-8 + 18k) Solving 20k = -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. 20k + -18k = -8 + 18k + -18k Combine like terms: 20k + -18k = 2k 2k = -8 + 18k + -18k Combine like terms: 18k + -18k = 0 2k = -8 + 0 2k = -8 Divide each side by '2'. k = -4 Simplifying k = -4
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