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Simplifying -7 = 0.75(3 + 10k) + -5k -7 = (3 * 0.75 + 10k * 0.75) + -5k -7 = (2.25 + 7.5k) + -5k Combine like terms: 7.5k + -5k = 2.5k -7 = 2.25 + 2.5k Solving -7 = 2.25 + 2.5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2.5k' to each side of the equation. -7 + -2.5k = 2.25 + 2.5k + -2.5k Combine like terms: 2.5k + -2.5k = 0.0 -7 + -2.5k = 2.25 + 0.0 -7 + -2.5k = 2.25 Add '7' to each side of the equation. -7 + 7 + -2.5k = 2.25 + 7 Combine like terms: -7 + 7 = 0 0 + -2.5k = 2.25 + 7 -2.5k = 2.25 + 7 Combine like terms: 2.25 + 7 = 9.25 -2.5k = 9.25 Divide each side by '-2.5'. k = -3.7 Simplifying k = -3.7
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