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Simplifying (1.1 + k) * 5 + -7.6 = 1.6 Reorder the terms for easier multiplication: 5(1.1 + k) + -7.6 = 1.6 (1.1 * 5 + k * 5) + -7.6 = 1.6 (5.5 + 5k) + -7.6 = 1.6 Reorder the terms: 5.5 + -7.6 + 5k = 1.6 Combine like terms: 5.5 + -7.6 = -2.1 -2.1 + 5k = 1.6 Solving -2.1 + 5k = 1.6 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2.1' to each side of the equation. -2.1 + 2.1 + 5k = 1.6 + 2.1 Combine like terms: -2.1 + 2.1 = 0.0 0.0 + 5k = 1.6 + 2.1 5k = 1.6 + 2.1 Combine like terms: 1.6 + 2.1 = 3.7 5k = 3.7 Divide each side by '5'. k = 0.74 Simplifying k = 0.74
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