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Simplifying -11.54 = k + 5.2 + -7.2k Reorder the terms: -11.54 = 5.2 + k + -7.2k Combine like terms: k + -7.2k = -6.2k -11.54 = 5.2 + -6.2k Solving -11.54 = 5.2 + -6.2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '6.2k' to each side of the equation. -11.54 + 6.2k = 5.2 + -6.2k + 6.2k Combine like terms: -6.2k + 6.2k = 0.0 -11.54 + 6.2k = 5.2 + 0.0 -11.54 + 6.2k = 5.2 Add '11.54' to each side of the equation. -11.54 + 11.54 + 6.2k = 5.2 + 11.54 Combine like terms: -11.54 + 11.54 = 0.00 0.00 + 6.2k = 5.2 + 11.54 6.2k = 5.2 + 11.54 Combine like terms: 5.2 + 11.54 = 16.74 6.2k = 16.74 Divide each side by '6.2'. k = 2.7 Simplifying k = 2.7
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