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Simplifying 8.5 + 4(1 + -2.5k) = -24.5 8.5 + (1 * 4 + -2.5k * 4) = -24.5 8.5 + (4 + -10k) = -24.5 Combine like terms: 8.5 + 4 = 12.5 12.5 + -10k = -24.5 Solving 12.5 + -10k = -24.5 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 + -10k = -24.5 + -12.5 Combine like terms: 12.5 + -12.5 = 0.0 0.0 + -10k = -24.5 + -12.5 -10k = -24.5 + -12.5 Combine like terms: -24.5 + -12.5 = -37 -10k = -37 Divide each side by '-10'. k = 3.7 Simplifying k = 3.7
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