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Simplifying 12z + -2 = 9z + -7 Reorder the terms: -2 + 12z = 9z + -7 Reorder the terms: -2 + 12z = -7 + 9z Solving -2 + 12z = -7 + 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. -2 + 12z + -9z = -7 + 9z + -9z Combine like terms: 12z + -9z = 3z -2 + 3z = -7 + 9z + -9z Combine like terms: 9z + -9z = 0 -2 + 3z = -7 + 0 -2 + 3z = -7 Add '2' to each side of the equation. -2 + 2 + 3z = -7 + 2 Combine like terms: -2 + 2 = 0 0 + 3z = -7 + 2 3z = -7 + 2 Combine like terms: -7 + 2 = -5 3z = -5 Divide each side by '3'. z = -1.666666667 Simplifying z = -1.666666667
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