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Simplifying -2z + -12 = -3z + 13 Reorder the terms: -12 + -2z = -3z + 13 Reorder the terms: -12 + -2z = 13 + -3z Solving -12 + -2z = 13 + -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. -12 + -2z + 3z = 13 + -3z + 3z Combine like terms: -2z + 3z = 1z -12 + 1z = 13 + -3z + 3z Combine like terms: -3z + 3z = 0 -12 + 1z = 13 + 0 -12 + 1z = 13 Add '12' to each side of the equation. -12 + 12 + 1z = 13 + 12 Combine like terms: -12 + 12 = 0 0 + 1z = 13 + 12 1z = 13 + 12 Combine like terms: 13 + 12 = 25 1z = 25 Divide each side by '1'. z = 25 Simplifying z = 25
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