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Simplifying (3z + 1) = (2z + -3) + (12) Reorder the terms: (1 + 3z) = (2z + -3) + (12) Remove parenthesis around (1 + 3z) 1 + 3z = (2z + -3) + (12) Reorder the terms: 1 + 3z = (-3 + 2z) + (12) Remove parenthesis around (-3 + 2z) 1 + 3z = -3 + 2z + (12) 1 + 3z = -3 + 2z + 12 Reorder the terms: 1 + 3z = -3 + 12 + 2z Combine like terms: -3 + 12 = 9 1 + 3z = 9 + 2z Solving 1 + 3z = 9 + 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 + 3z + -2z = 9 + 2z + -2z Combine like terms: 3z + -2z = 1z 1 + 1z = 9 + 2z + -2z Combine like terms: 2z + -2z = 0 1 + 1z = 9 + 0 1 + 1z = 9 Add '-1' to each side of the equation. 1 + -1 + 1z = 9 + -1 Combine like terms: 1 + -1 = 0 0 + 1z = 9 + -1 1z = 9 + -1 Combine like terms: 9 + -1 = 8 1z = 8 Divide each side by '1'. z = 8 Simplifying z = 8
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