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Simplifying 36 + -4k = -8(3k + 8) Reorder the terms: 36 + -4k = -8(8 + 3k) 36 + -4k = (8 * -8 + 3k * -8) 36 + -4k = (-64 + -24k) Solving 36 + -4k = -64 + -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 + -4k + 24k = -64 + -24k + 24k Combine like terms: -4k + 24k = 20k 36 + 20k = -64 + -24k + 24k Combine like terms: -24k + 24k = 0 36 + 20k = -64 + 0 36 + 20k = -64 Add '-36' to each side of the equation. 36 + -36 + 20k = -64 + -36 Combine like terms: 36 + -36 = 0 0 + 20k = -64 + -36 20k = -64 + -36 Combine like terms: -64 + -36 = -100 20k = -100 Divide each side by '20'. k = -5 Simplifying k = -5
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