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Simplifying 6 + 2z + -1 = 7z + 21 + -3z Reorder the terms: 6 + -1 + 2z = 7z + 21 + -3z Combine like terms: 6 + -1 = 5 5 + 2z = 7z + 21 + -3z Reorder the terms: 5 + 2z = 21 + 7z + -3z Combine like terms: 7z + -3z = 4z 5 + 2z = 21 + 4z Solving 5 + 2z = 21 + 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. 5 + 2z + -4z = 21 + 4z + -4z Combine like terms: 2z + -4z = -2z 5 + -2z = 21 + 4z + -4z Combine like terms: 4z + -4z = 0 5 + -2z = 21 + 0 5 + -2z = 21 Add '-5' to each side of the equation. 5 + -5 + -2z = 21 + -5 Combine like terms: 5 + -5 = 0 0 + -2z = 21 + -5 -2z = 21 + -5 Combine like terms: 21 + -5 = 16 -2z = 16 Divide each side by '-2'. z = -8 Simplifying z = -8
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