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Simplifying 45 = 2z + 30 Reorder the terms: 45 = 30 + 2z Solving 45 = 30 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. 45 + -2z = 30 + 2z + -2z Combine like terms: 2z + -2z = 0 45 + -2z = 30 + 0 45 + -2z = 30 Add '-45' to each side of the equation. 45 + -45 + -2z = 30 + -45 Combine like terms: 45 + -45 = 0 0 + -2z = 30 + -45 -2z = 30 + -45 Combine like terms: 30 + -45 = -15 -2z = -15 Divide each side by '-2'. z = 7.5 Simplifying z = 7.5
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