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Simplifying 5(2k + 3) + -8 = 6p + 29 Reorder the terms: 5(3 + 2k) + -8 = 6p + 29 (3 * 5 + 2k * 5) + -8 = 6p + 29 (15 + 10k) + -8 = 6p + 29 Reorder the terms: 15 + -8 + 10k = 6p + 29 Combine like terms: 15 + -8 = 7 7 + 10k = 6p + 29 Reorder the terms: 7 + 10k = 29 + 6p Solving 7 + 10k = 29 + 6p Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 10k = 29 + -7 + 6p Combine like terms: 7 + -7 = 0 0 + 10k = 29 + -7 + 6p 10k = 29 + -7 + 6p Combine like terms: 29 + -7 = 22 10k = 22 + 6p Divide each side by '10'. k = 2.2 + 0.6p Simplifying k = 2.2 + 0.6p
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