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Simplifying -11(1 + 2k) = 55 + 11k (1 * -11 + 2k * -11) = 55 + 11k (-11 + -22k) = 55 + 11k Solving -11 + -22k = 55 + 11k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-11k' to each side of the equation. -11 + -22k + -11k = 55 + 11k + -11k Combine like terms: -22k + -11k = -33k -11 + -33k = 55 + 11k + -11k Combine like terms: 11k + -11k = 0 -11 + -33k = 55 + 0 -11 + -33k = 55 Add '11' to each side of the equation. -11 + 11 + -33k = 55 + 11 Combine like terms: -11 + 11 = 0 0 + -33k = 55 + 11 -33k = 55 + 11 Combine like terms: 55 + 11 = 66 -33k = 66 Divide each side by '-33'. k = -2 Simplifying k = -2
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