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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) = -12.5k -7 = 2.25 + -12.5k Solving -7 = 2.25 + -12.5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '12.5k' to each side of the equation. -7 + 12.5k = 2.25 + -12.5k + 12.5k Combine like terms: -12.5k + 12.5k = 0.0 -7 + 12.5k = 2.25 + 0.0 -7 + 12.5k = 2.25 Add '7' to each side of the equation. -7 + 7 + 12.5k = 2.25 + 7 Combine like terms: -7 + 7 = 0 0 + 12.5k = 2.25 + 7 12.5k = 2.25 + 7 Combine like terms: 2.25 + 7 = 9.25 12.5k = 9.25 Divide each side by '12.5'. k = 0.74 Simplifying k = 0.74
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