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Simplifying 45 + 2 = 10z + -50 Combine like terms: 45 + 2 = 47 47 = 10z + -50 Reorder the terms: 47 = -50 + 10z Solving 47 = -50 + 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. 47 + -10z = -50 + 10z + -10z Combine like terms: 10z + -10z = 0 47 + -10z = -50 + 0 47 + -10z = -50 Add '-47' to each side of the equation. 47 + -47 + -10z = -50 + -47 Combine like terms: 47 + -47 = 0 0 + -10z = -50 + -47 -10z = -50 + -47 Combine like terms: -50 + -47 = -97 -10z = -97 Divide each side by '-10'. z = 9.7 Simplifying z = 9.7
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