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Simplifying 2z + 8 = 3(3z + -2) Reorder the terms: 8 + 2z = 3(3z + -2) Reorder the terms: 8 + 2z = 3(-2 + 3z) 8 + 2z = (-2 * 3 + 3z * 3) 8 + 2z = (-6 + 9z) Solving 8 + 2z = -6 + 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. 8 + 2z + -9z = -6 + 9z + -9z Combine like terms: 2z + -9z = -7z 8 + -7z = -6 + 9z + -9z Combine like terms: 9z + -9z = 0 8 + -7z = -6 + 0 8 + -7z = -6 Add '-8' to each side of the equation. 8 + -8 + -7z = -6 + -8 Combine like terms: 8 + -8 = 0 0 + -7z = -6 + -8 -7z = -6 + -8 Combine like terms: -6 + -8 = -14 -7z = -14 Divide each side by '-7'. z = 2 Simplifying z = 2
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