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Simplifying 3.5 + 2(1 + -7.5k) = 17.5 3.5 + (1 * 2 + -7.5k * 2) = 17.5 3.5 + (2 + -15k) = 17.5 Combine like terms: 3.5 + 2 = 5.5 5.5 + -15k = 17.5 Solving 5.5 + -15k = 17.5 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5.5' to each side of the equation. 5.5 + -5.5 + -15k = 17.5 + -5.5 Combine like terms: 5.5 + -5.5 = 0.0 0.0 + -15k = 17.5 + -5.5 -15k = 17.5 + -5.5 Combine like terms: 17.5 + -5.5 = 12 -15k = 12 Divide each side by '-15'. k = -0.8 Simplifying k = -0.8
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