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Simplifying 36 + 6k = 6(-4k + -4) Reorder the terms: 36 + 6k = 6(-4 + -4k) 36 + 6k = (-4 * 6 + -4k * 6) 36 + 6k = (-24 + -24k) Solving 36 + 6k = -24 + -24k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '24k' to each side of the equation. 36 + 6k + 24k = -24 + -24k + 24k Combine like terms: 6k + 24k = 30k 36 + 30k = -24 + -24k + 24k Combine like terms: -24k + 24k = 0 36 + 30k = -24 + 0 36 + 30k = -24 Add '-36' to each side of the equation. 36 + -36 + 30k = -24 + -36 Combine like terms: 36 + -36 = 0 0 + 30k = -24 + -36 30k = -24 + -36 Combine like terms: -24 + -36 = -60 30k = -60 Divide each side by '30'. k = -2 Simplifying k = -2
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