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Simplifying 6 + 2z + -2 = 7z + 18 + -3z Reorder the terms: 6 + -2 + 2z = 7z + 18 + -3z Combine like terms: 6 + -2 = 4 4 + 2z = 7z + 18 + -3z Reorder the terms: 4 + 2z = 18 + 7z + -3z Combine like terms: 7z + -3z = 4z 4 + 2z = 18 + 4z Solving 4 + 2z = 18 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 4 + 2z + -4z = 18 + 4z + -4z Combine like terms: 2z + -4z = -2z 4 + -2z = 18 + 4z + -4z Combine like terms: 4z + -4z = 0 4 + -2z = 18 + 0 4 + -2z = 18 Add '-4' to each side of the equation. 4 + -4 + -2z = 18 + -4 Combine like terms: 4 + -4 = 0 0 + -2z = 18 + -4 -2z = 18 + -4 Combine like terms: 18 + -4 = 14 -2z = 14 Divide each side by '-2'. z = -7 Simplifying z = -7
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