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Simplifying -11(k + -1) + -1k + -14 = -12(y + 3) + 11 Reorder the terms: -11(-1 + k) + -1k + -14 = -12(y + 3) + 11 (-1 * -11 + k * -11) + -1k + -14 = -12(y + 3) + 11 (11 + -11k) + -1k + -14 = -12(y + 3) + 11 Reorder the terms: 11 + -14 + -11k + -1k = -12(y + 3) + 11 Combine like terms: 11 + -14 = -3 -3 + -11k + -1k = -12(y + 3) + 11 Combine like terms: -11k + -1k = -12k -3 + -12k = -12(y + 3) + 11 Reorder the terms: -3 + -12k = -12(3 + y) + 11 -3 + -12k = (3 * -12 + y * -12) + 11 -3 + -12k = (-36 + -12y) + 11 Reorder the terms: -3 + -12k = -36 + 11 + -12y Combine like terms: -36 + 11 = -25 -3 + -12k = -25 + -12y Solving -3 + -12k = -25 + -12y Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -12k = -25 + 3 + -12y Combine like terms: -3 + 3 = 0 0 + -12k = -25 + 3 + -12y -12k = -25 + 3 + -12y Combine like terms: -25 + 3 = -22 -12k = -22 + -12y Divide each side by '-12'. k = 1.833333333 + y Simplifying k = 1.833333333 + y
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