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Simplifying 4z + 3 = 7z + -2 Reorder the terms: 3 + 4z = 7z + -2 Reorder the terms: 3 + 4z = -2 + 7z Solving 3 + 4z = -2 + 7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7z' to each side of the equation. 3 + 4z + -7z = -2 + 7z + -7z Combine like terms: 4z + -7z = -3z 3 + -3z = -2 + 7z + -7z Combine like terms: 7z + -7z = 0 3 + -3z = -2 + 0 3 + -3z = -2 Add '-3' to each side of the equation. 3 + -3 + -3z = -2 + -3 Combine like terms: 3 + -3 = 0 0 + -3z = -2 + -3 -3z = -2 + -3 Combine like terms: -2 + -3 = -5 -3z = -5 Divide each side by '-3'. z = 1.666666667 Simplifying z = 1.666666667
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