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Simplifying 1.6 = 7.6 + -5(k + 11) Reorder the terms: 1.6 = 7.6 + -5(11 + k) 1.6 = 7.6 + (11 * -5 + k * -5) 1.6 = 7.6 + (-55 + -5k) Combine like terms: 7.6 + -55 = -47.4 1.6 = -47.4 + -5k Solving 1.6 = -47.4 + -5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5k' to each side of the equation. 1.6 + 5k = -47.4 + -5k + 5k Combine like terms: -5k + 5k = 0 1.6 + 5k = -47.4 + 0 1.6 + 5k = -47.4 Add '-1.6' to each side of the equation. 1.6 + -1.6 + 5k = -47.4 + -1.6 Combine like terms: 1.6 + -1.6 = 0.0 0.0 + 5k = -47.4 + -1.6 5k = -47.4 + -1.6 Combine like terms: -47.4 + -1.6 = -49 5k = -49 Divide each side by '5'. k = -9.8 Simplifying k = -9.8
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