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Simplifying 6z + 7 = 3z + -2 Reorder the terms: 7 + 6z = 3z + -2 Reorder the terms: 7 + 6z = -2 + 3z Solving 7 + 6z = -2 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. 7 + 6z + -3z = -2 + 3z + -3z Combine like terms: 6z + -3z = 3z 7 + 3z = -2 + 3z + -3z Combine like terms: 3z + -3z = 0 7 + 3z = -2 + 0 7 + 3z = -2 Add '-7' to each side of the equation. 7 + -7 + 3z = -2 + -7 Combine like terms: 7 + -7 = 0 0 + 3z = -2 + -7 3z = -2 + -7 Combine like terms: -2 + -7 = -9 3z = -9 Divide each side by '3'. z = -3 Simplifying z = -3
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