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Simplifying 4(k + 5) = 0.16(18k + 18) Reorder the terms: 4(5 + k) = 0.16(18k + 18) (5 * 4 + k * 4) = 0.16(18k + 18) (20 + 4k) = 0.16(18k + 18) Reorder the terms: 20 + 4k = 0.16(18 + 18k) 20 + 4k = (18 * 0.16 + 18k * 0.16) 20 + 4k = (2.88 + 2.88k) Solving 20 + 4k = 2.88 + 2.88k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2.88k' to each side of the equation. 20 + 4k + -2.88k = 2.88 + 2.88k + -2.88k Combine like terms: 4k + -2.88k = 1.12k 20 + 1.12k = 2.88 + 2.88k + -2.88k Combine like terms: 2.88k + -2.88k = 0.00 20 + 1.12k = 2.88 + 0.00 20 + 1.12k = 2.88 Add '-20' to each side of the equation. 20 + -20 + 1.12k = 2.88 + -20 Combine like terms: 20 + -20 = 0 0 + 1.12k = 2.88 + -20 1.12k = 2.88 + -20 Combine like terms: 2.88 + -20 = -17.12 1.12k = -17.12 Divide each side by '1.12'. k = -15.28571429 Simplifying k = -15.28571429
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