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Simplifying 3(z + -2) + -9 = 24 + -8z Reorder the terms: 3(-2 + z) + -9 = 24 + -8z (-2 * 3 + z * 3) + -9 = 24 + -8z (-6 + 3z) + -9 = 24 + -8z Reorder the terms: -6 + -9 + 3z = 24 + -8z Combine like terms: -6 + -9 = -15 -15 + 3z = 24 + -8z Solving -15 + 3z = 24 + -8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '8z' to each side of the equation. -15 + 3z + 8z = 24 + -8z + 8z Combine like terms: 3z + 8z = 11z -15 + 11z = 24 + -8z + 8z Combine like terms: -8z + 8z = 0 -15 + 11z = 24 + 0 -15 + 11z = 24 Add '15' to each side of the equation. -15 + 15 + 11z = 24 + 15 Combine like terms: -15 + 15 = 0 0 + 11z = 24 + 15 11z = 24 + 15 Combine like terms: 24 + 15 = 39 11z = 39 Divide each side by '11'. z = 3.545454545 Simplifying z = 3.545454545
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