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Simplifying 2(2k + 1) + -36 = 0 Reorder the terms: 2(1 + 2k) + -36 = 0 (1 * 2 + 2k * 2) + -36 = 0 (2 + 4k) + -36 = 0 Reorder the terms: 2 + -36 + 4k = 0 Combine like terms: 2 + -36 = -34 -34 + 4k = 0 Solving -34 + 4k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '34' to each side of the equation. -34 + 34 + 4k = 0 + 34 Combine like terms: -34 + 34 = 0 0 + 4k = 0 + 34 4k = 0 + 34 Combine like terms: 0 + 34 = 34 4k = 34 Divide each side by '4'. k = 8.5 Simplifying k = 8.5
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