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Simplifying 5(2k + -30) = 8k Reorder the terms: 5(-30 + 2k) = 8k (-30 * 5 + 2k * 5) = 8k (-150 + 10k) = 8k Solving -150 + 10k = 8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8k' to each side of the equation. -150 + 10k + -8k = 8k + -8k Combine like terms: 10k + -8k = 2k -150 + 2k = 8k + -8k Combine like terms: 8k + -8k = 0 -150 + 2k = 0 Add '150' to each side of the equation. -150 + 150 + 2k = 0 + 150 Combine like terms: -150 + 150 = 0 0 + 2k = 0 + 150 2k = 0 + 150 Combine like terms: 0 + 150 = 150 2k = 150 Divide each side by '2'. k = 75 Simplifying k = 75
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