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Simplifying -5k + -5(k + -8) = 90 Reorder the terms: -5k + -5(-8 + k) = 90 -5k + (-8 * -5 + k * -5) = 90 -5k + (40 + -5k) = 90 Reorder the terms: 40 + -5k + -5k = 90 Combine like terms: -5k + -5k = -10k 40 + -10k = 90 Solving 40 + -10k = 90 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + -10k = 90 + -40 Combine like terms: 40 + -40 = 0 0 + -10k = 90 + -40 -10k = 90 + -40 Combine like terms: 90 + -40 = 50 -10k = 50 Divide each side by '-10'. k = -5 Simplifying k = -5
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