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Simplifying 7.6 + -5(k + 11) = 1.6 Reorder the terms: 7.6 + -5(11 + k) = 1.6 7.6 + (11 * -5 + k * -5) = 1.6 7.6 + (-55 + -5k) = 1.6 Combine like terms: 7.6 + -55 = -47.4 -47.4 + -5k = 1.6 Solving -47.4 + -5k = 1.6 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '47.4' to each side of the equation. -47.4 + 47.4 + -5k = 1.6 + 47.4 Combine like terms: -47.4 + 47.4 = 0.0 0.0 + -5k = 1.6 + 47.4 -5k = 1.6 + 47.4 Combine like terms: 1.6 + 47.4 = 49 -5k = 49 Divide each side by '-5'. k = -9.8 Simplifying k = -9.8
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