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Simplifying 20k + 90 = 10k + 20 Reorder the terms: 90 + 20k = 10k + 20 Reorder the terms: 90 + 20k = 20 + 10k Solving 90 + 20k = 20 + 10k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-10k' to each side of the equation. 90 + 20k + -10k = 20 + 10k + -10k Combine like terms: 20k + -10k = 10k 90 + 10k = 20 + 10k + -10k Combine like terms: 10k + -10k = 0 90 + 10k = 20 + 0 90 + 10k = 20 Add '-90' to each side of the equation. 90 + -90 + 10k = 20 + -90 Combine like terms: 90 + -90 = 0 0 + 10k = 20 + -90 10k = 20 + -90 Combine like terms: 20 + -90 = -70 10k = -70 Divide each side by '10'. k = -7 Simplifying k = -7
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