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Simplifying 4(2k + 1) + -15 = 29 Reorder the terms: 4(1 + 2k) + -15 = 29 (1 * 4 + 2k * 4) + -15 = 29 (4 + 8k) + -15 = 29 Reorder the terms: 4 + -15 + 8k = 29 Combine like terms: 4 + -15 = -11 -11 + 8k = 29 Solving -11 + 8k = 29 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 8k = 29 + 11 Combine like terms: -11 + 11 = 0 0 + 8k = 29 + 11 8k = 29 + 11 Combine like terms: 29 + 11 = 40 8k = 40 Divide each side by '8'. k = 5 Simplifying k = 5
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