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Simplifying 17 + 3(z + -2) + -11Z = -7Z Reorder the terms: 17 + 3(-2 + z) + -11Z = -7Z 17 + (-2 * 3 + z * 3) + -11Z = -7Z 17 + (-6 + 3z) + -11Z = -7Z Reorder the terms: 17 + -6 + -11Z + 3z = -7Z Combine like terms: 17 + -6 = 11 11 + -11Z + 3z = -7Z Solving 11 + -11Z + 3z = -7Z Solving for variable 'Z'. Move all terms containing Z to the left, all other terms to the right. Add '7Z' to each side of the equation. 11 + -11Z + 7Z + 3z = -7Z + 7Z Combine like terms: -11Z + 7Z = -4Z 11 + -4Z + 3z = -7Z + 7Z Combine like terms: -7Z + 7Z = 0 11 + -4Z + 3z = 0 Add '-11' to each side of the equation. 11 + -4Z + -11 + 3z = 0 + -11 Reorder the terms: 11 + -11 + -4Z + 3z = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -4Z + 3z = 0 + -11 -4Z + 3z = 0 + -11 Combine like terms: 0 + -11 = -11 -4Z + 3z = -11 Add '-3z' to each side of the equation. -4Z + 3z + -3z = -11 + -3z Combine like terms: 3z + -3z = 0 -4Z + 0 = -11 + -3z -4Z = -11 + -3z Divide each side by '-4'. Z = 2.75 + 0.75z Simplifying Z = 2.75 + 0.75z
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