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Simplifying -2z + 13 = 45 + -3z Reorder the terms: 13 + -2z = 45 + -3z Solving 13 + -2z = 45 + -3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3z' to each side of the equation. 13 + -2z + 3z = 45 + -3z + 3z Combine like terms: -2z + 3z = 1z 13 + 1z = 45 + -3z + 3z Combine like terms: -3z + 3z = 0 13 + 1z = 45 + 0 13 + 1z = 45 Add '-13' to each side of the equation. 13 + -13 + 1z = 45 + -13 Combine like terms: 13 + -13 = 0 0 + 1z = 45 + -13 1z = 45 + -13 Combine like terms: 45 + -13 = 32 1z = 32 Divide each side by '1'. z = 32 Simplifying z = 32
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