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Simplifying 4(k + 2) + -8k + -5 = 0 Reorder the terms: 4(2 + k) + -8k + -5 = 0 (2 * 4 + k * 4) + -8k + -5 = 0 (8 + 4k) + -8k + -5 = 0 Reorder the terms: 8 + -5 + 4k + -8k = 0 Combine like terms: 8 + -5 = 3 3 + 4k + -8k = 0 Combine like terms: 4k + -8k = -4k 3 + -4k = 0 Solving 3 + -4k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -4k = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4k = 0 + -3 -4k = 0 + -3 Combine like terms: 0 + -3 = -3 -4k = -3 Divide each side by '-4'. k = 0.75 Simplifying k = 0.75
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