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Simplifying [1.1 + k] + -5 + -7.6 = 1.6 Remove brackets around [1.1 + k] 1.1 + k + -5 + -7.6 = 1.6 Reorder the terms: 1.1 + -5 + -7.6 + k = 1.6 Combine like terms: 1.1 + -5 = -3.9 -3.9 + -7.6 + k = 1.6 Combine like terms: -3.9 + -7.6 = -11.5 -11.5 + k = 1.6 Solving -11.5 + k = 1.6 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '11.5' to each side of the equation. -11.5 + 11.5 + k = 1.6 + 11.5 Combine like terms: -11.5 + 11.5 = 0.0 0.0 + k = 1.6 + 11.5 k = 1.6 + 11.5 Combine like terms: 1.6 + 11.5 = 13.1 k = 13.1 Simplifying k = 13.1
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