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Simplifying 3z + 12 = 2z + 5 Reorder the terms: 12 + 3z = 2z + 5 Reorder the terms: 12 + 3z = 5 + 2z Solving 12 + 3z = 5 + 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. 12 + 3z + -2z = 5 + 2z + -2z Combine like terms: 3z + -2z = 1z 12 + 1z = 5 + 2z + -2z Combine like terms: 2z + -2z = 0 12 + 1z = 5 + 0 12 + 1z = 5 Add '-12' to each side of the equation. 12 + -12 + 1z = 5 + -12 Combine like terms: 12 + -12 = 0 0 + 1z = 5 + -12 1z = 5 + -12 Combine like terms: 5 + -12 = -7 1z = -7 Divide each side by '1'. z = -7 Simplifying z = -7
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