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Simplifying 8(2 + 3k) = -8k + 16 (2 * 8 + 3k * 8) = -8k + 16 (16 + 24k) = -8k + 16 Reorder the terms: 16 + 24k = 16 + -8k Add '-16' to each side of the equation. 16 + -16 + 24k = 16 + -16 + -8k Combine like terms: 16 + -16 = 0 0 + 24k = 16 + -16 + -8k 24k = 16 + -16 + -8k Combine like terms: 16 + -16 = 0 24k = 0 + -8k 24k = -8k Solving 24k = -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. 24k + 8k = -8k + 8k Combine like terms: 24k + 8k = 32k 32k = -8k + 8k Combine like terms: -8k + 8k = 0 32k = 0 Divide each side by '32'. k = 0 Simplifying k = 0
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