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Simplifying 8(1 + 5.5k) = -30.5 (1 * 8 + 5.5k * 8) = -30.5 (8 + 44k) = -30.5 Solving 8 + 44k = -30.5 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 44k = -30.5 + -8 Combine like terms: 8 + -8 = 0 0 + 44k = -30.5 + -8 44k = -30.5 + -8 Combine like terms: -30.5 + -8 = -38.5 44k = -38.5 Divide each side by '44'. k = -0.875 Simplifying k = -0.875
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