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Simplifying 6z + 7 + -3z = 1 + 2z + -3 Reorder the terms: 7 + 6z + -3z = 1 + 2z + -3 Combine like terms: 6z + -3z = 3z 7 + 3z = 1 + 2z + -3 Reorder the terms: 7 + 3z = 1 + -3 + 2z Combine like terms: 1 + -3 = -2 7 + 3z = -2 + 2z Solving 7 + 3z = -2 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. 7 + 3z + -2z = -2 + 2z + -2z Combine like terms: 3z + -2z = 1z 7 + 1z = -2 + 2z + -2z Combine like terms: 2z + -2z = 0 7 + 1z = -2 + 0 7 + 1z = -2 Add '-7' to each side of the equation. 7 + -7 + 1z = -2 + -7 Combine like terms: 7 + -7 = 0 0 + 1z = -2 + -7 1z = -2 + -7 Combine like terms: -2 + -7 = -9 1z = -9 Divide each side by '1'. z = -9 Simplifying z = -9
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