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Simplifying 46.12 = 29 + 0.08k Solving 46.12 = 29 + 0.08k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-0.08k' to each side of the equation. 46.12 + -0.08k = 29 + 0.08k + -0.08k Combine like terms: 0.08k + -0.08k = 0.00 46.12 + -0.08k = 29 + 0.00 46.12 + -0.08k = 29 Add '-46.12' to each side of the equation. 46.12 + -46.12 + -0.08k = 29 + -46.12 Combine like terms: 46.12 + -46.12 = 0.00 0.00 + -0.08k = 29 + -46.12 -0.08k = 29 + -46.12 Combine like terms: 29 + -46.12 = -17.12 -0.08k = -17.12 Divide each side by '-0.08'. k = 214 Simplifying k = 214
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