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Simplifying 1.6 = 7.6 + -1(5k + 1.1) Reorder the terms: 1.6 = 7.6 + -1(1.1 + 5k) 1.6 = 7.6 + (1.1 * -1 + 5k * -1) 1.6 = 7.6 + (-1.1 + -5k) Combine like terms: 7.6 + -1.1 = 6.5 1.6 = 6.5 + -5k Solving 1.6 = 6.5 + -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 = 6.5 + -5k + 5k Combine like terms: -5k + 5k = 0 1.6 + 5k = 6.5 + 0 1.6 + 5k = 6.5 Add '-1.6' to each side of the equation. 1.6 + -1.6 + 5k = 6.5 + -1.6 Combine like terms: 1.6 + -1.6 = 0.0 0.0 + 5k = 6.5 + -1.6 5k = 6.5 + -1.6 Combine like terms: 6.5 + -1.6 = 4.9 5k = 4.9 Divide each side by '5'. k = 0.98 Simplifying k = 0.98
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