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Simplifying -7 = 0.75(3 + 10k) -7 = (3 * 0.75 + 10k * 0.75) -7 = (2.25 + 7.5k) Solving -7 = 2.25 + 7.5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7.5k' to each side of the equation. -7 + -7.5k = 2.25 + 7.5k + -7.5k Combine like terms: 7.5k + -7.5k = 0.0 -7 + -7.5k = 2.25 + 0.0 -7 + -7.5k = 2.25 Add '7' to each side of the equation. -7 + 7 + -7.5k = 2.25 + 7 Combine like terms: -7 + 7 = 0 0 + -7.5k = 2.25 + 7 -7.5k = 2.25 + 7 Combine like terms: 2.25 + 7 = 9.25 -7.5k = 9.25 Divide each side by '-7.5'. k = -1.233333333 Simplifying k = -1.233333333
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