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Simplifying 10(5 + k) = 130 (5 * 10 + k * 10) = 130 (50 + 10k) = 130 Solving 50 + 10k = 130 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + 10k = 130 + -50 Combine like terms: 50 + -50 = 0 0 + 10k = 130 + -50 10k = 130 + -50 Combine like terms: 130 + -50 = 80 10k = 80 Divide each side by '10'. k = 8 Simplifying k = 8
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