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Simplifying -1z + -34 + 10z = 2 + 10z + -54 Reorder the terms: -34 + -1z + 10z = 2 + 10z + -54 Combine like terms: -1z + 10z = 9z -34 + 9z = 2 + 10z + -54 Reorder the terms: -34 + 9z = 2 + -54 + 10z Combine like terms: 2 + -54 = -52 -34 + 9z = -52 + 10z Solving -34 + 9z = -52 + 10z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-10z' to each side of the equation. -34 + 9z + -10z = -52 + 10z + -10z Combine like terms: 9z + -10z = -1z -34 + -1z = -52 + 10z + -10z Combine like terms: 10z + -10z = 0 -34 + -1z = -52 + 0 -34 + -1z = -52 Add '34' to each side of the equation. -34 + 34 + -1z = -52 + 34 Combine like terms: -34 + 34 = 0 0 + -1z = -52 + 34 -1z = -52 + 34 Combine like terms: -52 + 34 = -18 -1z = -18 Divide each side by '-1'. z = 18 Simplifying z = 18
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