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Simplifying 8z + -7 = 33z + -7 + 5z Reorder the terms: -7 + 8z = 33z + -7 + 5z Reorder the terms: -7 + 8z = -7 + 33z + 5z Combine like terms: 33z + 5z = 38z -7 + 8z = -7 + 38z Add '7' to each side of the equation. -7 + 7 + 8z = -7 + 7 + 38z Combine like terms: -7 + 7 = 0 0 + 8z = -7 + 7 + 38z 8z = -7 + 7 + 38z Combine like terms: -7 + 7 = 0 8z = 0 + 38z 8z = 38z Solving 8z = 38z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-38z' to each side of the equation. 8z + -38z = 38z + -38z Combine like terms: 8z + -38z = -30z -30z = 38z + -38z Combine like terms: 38z + -38z = 0 -30z = 0 Divide each side by '-30'. z = 0.0 Simplifying z = 0.0
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