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Simplifying 5.5 = 10k + -4.5 Reorder the terms: 5.5 = -4.5 + 10k Solving 5.5 = -4.5 + 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. 5.5 + -10k = -4.5 + 10k + -10k Combine like terms: 10k + -10k = 0 5.5 + -10k = -4.5 + 0 5.5 + -10k = -4.5 Add '-5.5' to each side of the equation. 5.5 + -5.5 + -10k = -4.5 + -5.5 Combine like terms: 5.5 + -5.5 = 0.0 0.0 + -10k = -4.5 + -5.5 -10k = -4.5 + -5.5 Combine like terms: -4.5 + -5.5 = -10 -10k = -10 Divide each side by '-10'. k = 1 Simplifying k = 1
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