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Simplifying 2(4k + 2) + -32 = 0 Reorder the terms: 2(2 + 4k) + -32 = 0 (2 * 2 + 4k * 2) + -32 = 0 (4 + 8k) + -32 = 0 Reorder the terms: 4 + -32 + 8k = 0 Combine like terms: 4 + -32 = -28 -28 + 8k = 0 Solving -28 + 8k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + 8k = 0 + 28 Combine like terms: -28 + 28 = 0 0 + 8k = 0 + 28 8k = 0 + 28 Combine like terms: 0 + 28 = 28 8k = 28 Divide each side by '8'. k = 3.5 Simplifying k = 3.5
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