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Simplifying -11 + 8k = -2(1 + k) -11 + 8k = (1 * -2 + k * -2) -11 + 8k = (-2 + -2k) Solving -11 + 8k = -2 + -2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2k' to each side of the equation. -11 + 8k + 2k = -2 + -2k + 2k Combine like terms: 8k + 2k = 10k -11 + 10k = -2 + -2k + 2k Combine like terms: -2k + 2k = 0 -11 + 10k = -2 + 0 -11 + 10k = -2 Add '11' to each side of the equation. -11 + 11 + 10k = -2 + 11 Combine like terms: -11 + 11 = 0 0 + 10k = -2 + 11 10k = -2 + 11 Combine like terms: -2 + 11 = 9 10k = 9 Divide each side by '10'. k = 0.9 Simplifying k = 0.9
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