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Simplifying 11(k + -3) + -1z + -1(5 + -6z) = 15 Reorder the terms: 11(-3 + k) + -1z + -1(5 + -6z) = 15 (-3 * 11 + k * 11) + -1z + -1(5 + -6z) = 15 (-33 + 11k) + -1z + -1(5 + -6z) = 15 -33 + 11k + -1z + (5 * -1 + -6z * -1) = 15 -33 + 11k + -1z + (-5 + 6z) = 15 Reorder the terms: -33 + -5 + 11k + -1z + 6z = 15 Combine like terms: -33 + -5 = -38 -38 + 11k + -1z + 6z = 15 Combine like terms: -1z + 6z = 5z -38 + 11k + 5z = 15 Solving -38 + 11k + 5z = 15 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '38' to each side of the equation. -38 + 11k + 38 + 5z = 15 + 38 Reorder the terms: -38 + 38 + 11k + 5z = 15 + 38 Combine like terms: -38 + 38 = 0 0 + 11k + 5z = 15 + 38 11k + 5z = 15 + 38 Combine like terms: 15 + 38 = 53 11k + 5z = 53 Add '-5z' to each side of the equation. 11k + 5z + -5z = 53 + -5z Combine like terms: 5z + -5z = 0 11k + 0 = 53 + -5z 11k = 53 + -5z Divide each side by '11'. k = 4.818181818 + -0.4545454545z Simplifying k = 4.818181818 + -0.4545454545z
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