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