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Simplifying -3k + 5(6 + -1k) = 4(1 + -4k) -3k + (6 * 5 + -1k * 5) = 4(1 + -4k) -3k + (30 + -5k) = 4(1 + -4k) Reorder the terms: 30 + -3k + -5k = 4(1 + -4k) Combine like terms: -3k + -5k = -8k 30 + -8k = 4(1 + -4k) 30 + -8k = (1 * 4 + -4k * 4) 30 + -8k = (4 + -16k) Solving 30 + -8k = 4 + -16k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '16k' to each side of the equation. 30 + -8k + 16k = 4 + -16k + 16k Combine like terms: -8k + 16k = 8k 30 + 8k = 4 + -16k + 16k Combine like terms: -16k + 16k = 0 30 + 8k = 4 + 0 30 + 8k = 4 Add '-30' to each side of the equation. 30 + -30 + 8k = 4 + -30 Combine like terms: 30 + -30 = 0 0 + 8k = 4 + -30 8k = 4 + -30 Combine like terms: 4 + -30 = -26 8k = -26 Divide each side by '8'. k = -3.25 Simplifying k = -3.25
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