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Simplifying 20 + 70 = 10k + 100 Combine like terms: 20 + 70 = 90 90 = 10k + 100 Reorder the terms: 90 = 100 + 10k Solving 90 = 100 + 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 + -10k = 100 + 10k + -10k Combine like terms: 10k + -10k = 0 90 + -10k = 100 + 0 90 + -10k = 100 Add '-90' to each side of the equation. 90 + -90 + -10k = 100 + -90 Combine like terms: 90 + -90 = 0 0 + -10k = 100 + -90 -10k = 100 + -90 Combine like terms: 100 + -90 = 10 -10k = 10 Divide each side by '-10'. k = -1 Simplifying k = -1
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