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Simplifying 0.9 = k + 0.7 Reorder the terms: 0.9 = 0.7 + k Solving 0.9 = 0.7 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. 0.9 + -1k = 0.7 + k + -1k Combine like terms: k + -1k = 0 0.9 + -1k = 0.7 + 0 0.9 + -1k = 0.7 Add '-0.9' to each side of the equation. 0.9 + -0.9 + -1k = 0.7 + -0.9 Combine like terms: 0.9 + -0.9 = 0.0 0.0 + -1k = 0.7 + -0.9 -1k = 0.7 + -0.9 Combine like terms: 0.7 + -0.9 = -0.2 -1k = -0.2 Divide each side by '-1'. k = 0.2 Simplifying k = 0.2
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