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Simplifying 2(5k + -4) + -27 = 0 Reorder the terms: 2(-4 + 5k) + -27 = 0 (-4 * 2 + 5k * 2) + -27 = 0 (-8 + 10k) + -27 = 0 Reorder the terms: -8 + -27 + 10k = 0 Combine like terms: -8 + -27 = -35 -35 + 10k = 0 Solving -35 + 10k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + 10k = 0 + 35 Combine like terms: -35 + 35 = 0 0 + 10k = 0 + 35 10k = 0 + 35 Combine like terms: 0 + 35 = 35 10k = 35 Divide each side by '10'. k = 3.5 Simplifying k = 3.5
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