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Simplifying 2(k + -5) + 8k = -90 Reorder the terms: 2(-5 + k) + 8k = -90 (-5 * 2 + k * 2) + 8k = -90 (-10 + 2k) + 8k = -90 Combine like terms: 2k + 8k = 10k -10 + 10k = -90 Solving -10 + 10k = -90 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 10k = -90 + 10 Combine like terms: -10 + 10 = 0 0 + 10k = -90 + 10 10k = -90 + 10 Combine like terms: -90 + 10 = -80 10k = -80 Divide each side by '10'. k = -8 Simplifying k = -8
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