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Simplifying -6z + 3 = 7z + 4 Reorder the terms: 3 + -6z = 7z + 4 Reorder the terms: 3 + -6z = 4 + 7z Solving 3 + -6z = 4 + 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 + -6z + -7z = 4 + 7z + -7z Combine like terms: -6z + -7z = -13z 3 + -13z = 4 + 7z + -7z Combine like terms: 7z + -7z = 0 3 + -13z = 4 + 0 3 + -13z = 4 Add '-3' to each side of the equation. 3 + -3 + -13z = 4 + -3 Combine like terms: 3 + -3 = 0 0 + -13z = 4 + -3 -13z = 4 + -3 Combine like terms: 4 + -3 = 1 -13z = 1 Divide each side by '-13'. z = -0.07692307692 Simplifying z = -0.07692307692
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