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Simplifying 4.5 + 8.5(1 + -4k) = -25.5 4.5 + (1 * 8.5 + -4k * 8.5) = -25.5 4.5 + (8.5 + -34k) = -25.5 Combine like terms: 4.5 + 8.5 = 13 13 + -34k = -25.5 Solving 13 + -34k = -25.5 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -34k = -25.5 + -13 Combine like terms: 13 + -13 = 0 0 + -34k = -25.5 + -13 -34k = -25.5 + -13 Combine like terms: -25.5 + -13 = -38.5 -34k = -38.5 Divide each side by '-34'. k = 1.132352941 Simplifying k = 1.132352941
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