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Simplifying 6z + 7 + -3z = 1 + 2z + -6 Reorder the terms: 7 + 6z + -3z = 1 + 2z + -6 Combine like terms: 6z + -3z = 3z 7 + 3z = 1 + 2z + -6 Reorder the terms: 7 + 3z = 1 + -6 + 2z Combine like terms: 1 + -6 = -5 7 + 3z = -5 + 2z Solving 7 + 3z = -5 + 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 = -5 + 2z + -2z Combine like terms: 3z + -2z = 1z 7 + 1z = -5 + 2z + -2z Combine like terms: 2z + -2z = 0 7 + 1z = -5 + 0 7 + 1z = -5 Add '-7' to each side of the equation. 7 + -7 + 1z = -5 + -7 Combine like terms: 7 + -7 = 0 0 + 1z = -5 + -7 1z = -5 + -7 Combine like terms: -5 + -7 = -12 1z = -12 Divide each side by '1'. z = -12 Simplifying z = -12
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