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