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Simplifying -3z + 6 = -7 + 9z Reorder the terms: 6 + -3z = -7 + 9z Solving 6 + -3z = -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. 6 + -3z + -9z = -7 + 9z + -9z Combine like terms: -3z + -9z = -12z 6 + -12z = -7 + 9z + -9z Combine like terms: 9z + -9z = 0 6 + -12z = -7 + 0 6 + -12z = -7 Add '-6' to each side of the equation. 6 + -6 + -12z = -7 + -6 Combine like terms: 6 + -6 = 0 0 + -12z = -7 + -6 -12z = -7 + -6 Combine like terms: -7 + -6 = -13 -12z = -13 Divide each side by '-12'. z = 1.083333333 Simplifying z = 1.083333333
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