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Simplifying -5(k + 2) = -1(-9 + 8k) + -8k Reorder the terms: -5(2 + k) = -1(-9 + 8k) + -8k (2 * -5 + k * -5) = -1(-9 + 8k) + -8k (-10 + -5k) = -1(-9 + 8k) + -8k -10 + -5k = (-9 * -1 + 8k * -1) + -8k -10 + -5k = (9 + -8k) + -8k Combine like terms: -8k + -8k = -16k -10 + -5k = 9 + -16k Solving -10 + -5k = 9 + -16k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '16k' to each side of the equation. -10 + -5k + 16k = 9 + -16k + 16k Combine like terms: -5k + 16k = 11k -10 + 11k = 9 + -16k + 16k Combine like terms: -16k + 16k = 0 -10 + 11k = 9 + 0 -10 + 11k = 9 Add '10' to each side of the equation. -10 + 10 + 11k = 9 + 10 Combine like terms: -10 + 10 = 0 0 + 11k = 9 + 10 11k = 9 + 10 Combine like terms: 9 + 10 = 19 11k = 19 Divide each side by '11'. k = 1.727272727 Simplifying k = 1.727272727
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