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Simplifying 6(5 + -4k) + -8k = -8k + 6 (5 * 6 + -4k * 6) + -8k = -8k + 6 (30 + -24k) + -8k = -8k + 6 Combine like terms: -24k + -8k = -32k 30 + -32k = -8k + 6 Reorder the terms: 30 + -32k = 6 + -8k Solving 30 + -32k = 6 + -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. 30 + -32k + 8k = 6 + -8k + 8k Combine like terms: -32k + 8k = -24k 30 + -24k = 6 + -8k + 8k Combine like terms: -8k + 8k = 0 30 + -24k = 6 + 0 30 + -24k = 6 Add '-30' to each side of the equation. 30 + -30 + -24k = 6 + -30 Combine like terms: 30 + -30 = 0 0 + -24k = 6 + -30 -24k = 6 + -30 Combine like terms: 6 + -30 = -24 -24k = -24 Divide each side by '-24'. k = 1 Simplifying k = 1
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