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Simplifying 3 + -2 + 7z = -3 + 6z Combine like terms: 3 + -2 = 1 1 + 7z = -3 + 6z Solving 1 + 7z = -3 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. 1 + 7z + -6z = -3 + 6z + -6z Combine like terms: 7z + -6z = 1z 1 + 1z = -3 + 6z + -6z Combine like terms: 6z + -6z = 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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