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Simplifying 1 + -2z = 2z + -3 Reorder the terms: 1 + -2z = -3 + 2z Solving 1 + -2z = -3 + 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. 1 + -2z + -2z = -3 + 2z + -2z Combine like terms: -2z + -2z = -4z 1 + -4z = -3 + 2z + -2z Combine like terms: 2z + -2z = 0 1 + -4z = -3 + 0 1 + -4z = -3 Add '-1' to each side of the equation. 1 + -1 + -4z = -3 + -1 Combine like terms: 1 + -1 = 0 0 + -4z = -3 + -1 -4z = -3 + -1 Combine like terms: -3 + -1 = -4 -4z = -4 Divide each side by '-4'. z = 1 Simplifying z = 1
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