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Simplifying 7.6 + -5(k + 1.1) = 1.6 Reorder the terms: 7.6 + -5(1.1 + k) = 1.6 7.6 + (1.1 * -5 + k * -5) = 1.6 7.6 + (-5.5 + -5k) = 1.6 Combine like terms: 7.6 + -5.5 = 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 = -0.5 -5k = -0.5 Divide each side by '-5'. k = 0.1 Simplifying k = 0.1
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