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Simplifying 5(2k + -20) + 10 = 45 Reorder the terms: 5(-20 + 2k) + 10 = 45 (-20 * 5 + 2k * 5) + 10 = 45 (-100 + 10k) + 10 = 45 Reorder the terms: -100 + 10 + 10k = 45 Combine like terms: -100 + 10 = -90 -90 + 10k = 45 Solving -90 + 10k = 45 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '90' to each side of the equation. -90 + 90 + 10k = 45 + 90 Combine like terms: -90 + 90 = 0 0 + 10k = 45 + 90 10k = 45 + 90 Combine like terms: 45 + 90 = 135 10k = 135 Divide each side by '10'. k = 13.5 Simplifying k = 13.5
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