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Simplifying 2z + -9 = -52(2z + 8) Reorder the terms: -9 + 2z = -52(2z + 8) Reorder the terms: -9 + 2z = -52(8 + 2z) -9 + 2z = (8 * -52 + 2z * -52) -9 + 2z = (-416 + -104z) Solving -9 + 2z = -416 + -104z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '104z' to each side of the equation. -9 + 2z + 104z = -416 + -104z + 104z Combine like terms: 2z + 104z = 106z -9 + 106z = -416 + -104z + 104z Combine like terms: -104z + 104z = 0 -9 + 106z = -416 + 0 -9 + 106z = -416 Add '9' to each side of the equation. -9 + 9 + 106z = -416 + 9 Combine like terms: -9 + 9 = 0 0 + 106z = -416 + 9 106z = -416 + 9 Combine like terms: -416 + 9 = -407 106z = -407 Divide each side by '106'. z = -3.839622642 Simplifying z = -3.839622642
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