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Simplifying 2z + 12 = 5z + -9 Reorder the terms: 12 + 2z = 5z + -9 Reorder the terms: 12 + 2z = -9 + 5z Solving 12 + 2z = -9 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 12 + 2z + -5z = -9 + 5z + -5z Combine like terms: 2z + -5z = -3z 12 + -3z = -9 + 5z + -5z Combine like terms: 5z + -5z = 0 12 + -3z = -9 + 0 12 + -3z = -9 Add '-12' to each side of the equation. 12 + -12 + -3z = -9 + -12 Combine like terms: 12 + -12 = 0 0 + -3z = -9 + -12 -3z = -9 + -12 Combine like terms: -9 + -12 = -21 -3z = -21 Divide each side by '-3'. z = 7 Simplifying z = 7
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