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Simplifying 5 + -3.3(2k + -1) = 7 Reorder the terms: 5 + -3.3(-1 + 2k) = 7 5 + (-1 * -3.3 + 2k * -3.3) = 7 5 + (3.3 + -6.6k) = 7 Combine like terms: 5 + 3.3 = 8.3 8.3 + -6.6k = 7 Solving 8.3 + -6.6k = 7 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8.3' to each side of the equation. 8.3 + -8.3 + -6.6k = 7 + -8.3 Combine like terms: 8.3 + -8.3 = 0.0 0.0 + -6.6k = 7 + -8.3 -6.6k = 7 + -8.3 Combine like terms: 7 + -8.3 = -1.3 -6.6k = -1.3 Divide each side by '-6.6'. k = 0.196969697 Simplifying k = 0.196969697
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