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Simplifying z + 30 = 10z + -15 Reorder the terms: 30 + z = 10z + -15 Reorder the terms: 30 + z = -15 + 10z Solving 30 + z = -15 + 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. 30 + z + -10z = -15 + 10z + -10z Combine like terms: z + -10z = -9z 30 + -9z = -15 + 10z + -10z Combine like terms: 10z + -10z = 0 30 + -9z = -15 + 0 30 + -9z = -15 Add '-30' to each side of the equation. 30 + -30 + -9z = -15 + -30 Combine like terms: 30 + -30 = 0 0 + -9z = -15 + -30 -9z = -15 + -30 Combine like terms: -15 + -30 = -45 -9z = -45 Divide each side by '-9'. z = 5 Simplifying z = 5
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