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Simplifying -4z + 2 + -3z = -4 + 2z Reorder the terms: 2 + -4z + -3z = -4 + 2z Combine like terms: -4z + -3z = -7z 2 + -7z = -4 + 2z Solving 2 + -7z = -4 + 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. 2 + -7z + -2z = -4 + 2z + -2z Combine like terms: -7z + -2z = -9z 2 + -9z = -4 + 2z + -2z Combine like terms: 2z + -2z = 0 2 + -9z = -4 + 0 2 + -9z = -4 Add '-2' to each side of the equation. 2 + -2 + -9z = -4 + -2 Combine like terms: 2 + -2 = 0 0 + -9z = -4 + -2 -9z = -4 + -2 Combine like terms: -4 + -2 = -6 -9z = -6 Divide each side by '-9'. z = 0.6666666667 Simplifying z = 0.6666666667
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