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Simplifying -7 = 9.75(3 + 10k) + -5k -7 = (3 * 9.75 + 10k * 9.75) + -5k -7 = (29.25 + 97.5k) + -5k Combine like terms: 97.5k + -5k = 92.5k -7 = 29.25 + 92.5k Solving -7 = 29.25 + 92.5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-92.5k' to each side of the equation. -7 + -92.5k = 29.25 + 92.5k + -92.5k Combine like terms: 92.5k + -92.5k = 0.0 -7 + -92.5k = 29.25 + 0.0 -7 + -92.5k = 29.25 Add '7' to each side of the equation. -7 + 7 + -92.5k = 29.25 + 7 Combine like terms: -7 + 7 = 0 0 + -92.5k = 29.25 + 7 -92.5k = 29.25 + 7 Combine like terms: 29.25 + 7 = 36.25 -92.5k = 36.25 Divide each side by '-92.5'. k = -0.3918918919 Simplifying k = -0.3918918919
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