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Simplifying 2z + -7 + z = 3 + 6z + -1 Reorder the terms: -7 + 2z + z = 3 + 6z + -1 Combine like terms: 2z + z = 3z -7 + 3z = 3 + 6z + -1 Reorder the terms: -7 + 3z = 3 + -1 + 6z Combine like terms: 3 + -1 = 2 -7 + 3z = 2 + 6z Solving -7 + 3z = 2 + 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. -7 + 3z + -6z = 2 + 6z + -6z Combine like terms: 3z + -6z = -3z -7 + -3z = 2 + 6z + -6z Combine like terms: 6z + -6z = 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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