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Simplifying 11k + -1(k + 4) + 2 = 0 Reorder the terms: 11k + -1(4 + k) + 2 = 0 11k + (4 * -1 + k * -1) + 2 = 0 11k + (-4 + -1k) + 2 = 0 Reorder the terms: -4 + 2 + 11k + -1k = 0 Combine like terms: -4 + 2 = -2 -2 + 11k + -1k = 0 Combine like terms: 11k + -1k = 10k -2 + 10k = 0 Solving -2 + 10k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 10k = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 10k = 0 + 2 10k = 0 + 2 Combine like terms: 0 + 2 = 2 10k = 2 Divide each side by '10'. k = 0.2 Simplifying k = 0.2
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