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Simplifying 4(2k + 1) + -23 = 21 Reorder the terms: 4(1 + 2k) + -23 = 21 (1 * 4 + 2k * 4) + -23 = 21 (4 + 8k) + -23 = 21 Reorder the terms: 4 + -23 + 8k = 21 Combine like terms: 4 + -23 = -19 -19 + 8k = 21 Solving -19 + 8k = 21 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 8k = 21 + 19 Combine like terms: -19 + 19 = 0 0 + 8k = 21 + 19 8k = 21 + 19 Combine like terms: 21 + 19 = 40 8k = 40 Divide each side by '8'. k = 5 Simplifying k = 5
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