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Simplifying 11(z + -2) = z + 9 + -3z Reorder the terms: 11(-2 + z) = z + 9 + -3z (-2 * 11 + z * 11) = z + 9 + -3z (-22 + 11z) = z + 9 + -3z Reorder the terms: -22 + 11z = 9 + z + -3z Combine like terms: z + -3z = -2z -22 + 11z = 9 + -2z Solving -22 + 11z = 9 + -2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2z' to each side of the equation. -22 + 11z + 2z = 9 + -2z + 2z Combine like terms: 11z + 2z = 13z -22 + 13z = 9 + -2z + 2z Combine like terms: -2z + 2z = 0 -22 + 13z = 9 + 0 -22 + 13z = 9 Add '22' to each side of the equation. -22 + 22 + 13z = 9 + 22 Combine like terms: -22 + 22 = 0 0 + 13z = 9 + 22 13z = 9 + 22 Combine like terms: 9 + 22 = 31 13z = 31 Divide each side by '13'. z = 2.384615385 Simplifying z = 2.384615385
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