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Simplifying 45 = 15 + -2z Solving 45 = 15 + -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 = 15 + -2z + 2z Combine like terms: -2z + 2z = 0 45 + 2z = 15 + 0 45 + 2z = 15 Add '-45' to each side of the equation. 45 + -45 + 2z = 15 + -45 Combine like terms: 45 + -45 = 0 0 + 2z = 15 + -45 2z = 15 + -45 Combine like terms: 15 + -45 = -30 2z = -30 Divide each side by '2'. z = -15 Simplifying z = -15
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