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Simplifying 4(k + 1) + -1k = 8k + -20 Reorder the terms: 4(1 + k) + -1k = 8k + -20 (1 * 4 + k * 4) + -1k = 8k + -20 (4 + 4k) + -1k = 8k + -20 Combine like terms: 4k + -1k = 3k 4 + 3k = 8k + -20 Reorder the terms: 4 + 3k = -20 + 8k Solving 4 + 3k = -20 + 8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8k' to each side of the equation. 4 + 3k + -8k = -20 + 8k + -8k Combine like terms: 3k + -8k = -5k 4 + -5k = -20 + 8k + -8k Combine like terms: 8k + -8k = 0 4 + -5k = -20 + 0 4 + -5k = -20 Add '-4' to each side of the equation. 4 + -4 + -5k = -20 + -4 Combine like terms: 4 + -4 = 0 0 + -5k = -20 + -4 -5k = -20 + -4 Combine like terms: -20 + -4 = -24 -5k = -24 Divide each side by '-5'. k = 4.8 Simplifying k = 4.8
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