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Simplifying 4(k + 5) = 2(9 + -4) Reorder the terms: 4(5 + k) = 2(9 + -4) (5 * 4 + k * 4) = 2(9 + -4) (20 + 4k) = 2(9 + -4) Combine like terms: 9 + -4 = 5 20 + 4k = 2(5) Multiply 2 * 5 20 + 4k = 10 Solving 20 + 4k = 10 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 4k = 10 + -20 Combine like terms: 20 + -20 = 0 0 + 4k = 10 + -20 4k = 10 + -20 Combine like terms: 10 + -20 = -10 4k = -10 Divide each side by '4'. k = -2.5 Simplifying k = -2.5
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