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Simplifying 5k + -5.9 = 5.2k + -6.96 Reorder the terms: -5.9 + 5k = 5.2k + -6.96 Reorder the terms: -5.9 + 5k = -6.96 + 5.2k Solving -5.9 + 5k = -6.96 + 5.2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5.2k' to each side of the equation. -5.9 + 5k + -5.2k = -6.96 + 5.2k + -5.2k Combine like terms: 5k + -5.2k = -0.2k -5.9 + -0.2k = -6.96 + 5.2k + -5.2k Combine like terms: 5.2k + -5.2k = 0.0 -5.9 + -0.2k = -6.96 + 0.0 -5.9 + -0.2k = -6.96 Add '5.9' to each side of the equation. -5.9 + 5.9 + -0.2k = -6.96 + 5.9 Combine like terms: -5.9 + 5.9 = 0.0 0.0 + -0.2k = -6.96 + 5.9 -0.2k = -6.96 + 5.9 Combine like terms: -6.96 + 5.9 = -1.06 -0.2k = -1.06 Divide each side by '-0.2'. k = 5.3 Simplifying k = 5.3
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