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Simplifying 5 + -7.5(2k + -1) = 7 Reorder the terms: 5 + -7.5(-1 + 2k) = 7 5 + (-1 * -7.5 + 2k * -7.5) = 7 5 + (7.5 + -15k) = 7 Combine like terms: 5 + 7.5 = 12.5 12.5 + -15k = 7 Solving 12.5 + -15k = 7 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-12.5' to each side of the equation. 12.5 + -12.5 + -15k = 7 + -12.5 Combine like terms: 12.5 + -12.5 = 0.0 0.0 + -15k = 7 + -12.5 -15k = 7 + -12.5 Combine like terms: 7 + -12.5 = -5.5 -15k = -5.5 Divide each side by '-15'. k = 0.3666666667 Simplifying k = 0.3666666667
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