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Simplifying 0.1 = -9 + k Solving 0.1 = -9 + 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. 0.1 + -1k = -9 + k + -1k Combine like terms: k + -1k = 0 0.1 + -1k = -9 + 0 0.1 + -1k = -9 Add '-0.1' to each side of the equation. 0.1 + -0.1 + -1k = -9 + -0.1 Combine like terms: 0.1 + -0.1 = 0.0 0.0 + -1k = -9 + -0.1 -1k = -9 + -0.1 Combine like terms: -9 + -0.1 = -9.1 -1k = -9.1 Divide each side by '-1'. k = 9.1 Simplifying k = 9.1
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