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Simplifying 3z + 5z + -3 + -1z = 4z + 6 Reorder the terms: -3 + 3z + 5z + -1z = 4z + 6 Combine like terms: 3z + 5z = 8z -3 + 8z + -1z = 4z + 6 Combine like terms: 8z + -1z = 7z -3 + 7z = 4z + 6 Reorder the terms: -3 + 7z = 6 + 4z Solving -3 + 7z = 6 + 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. -3 + 7z + -4z = 6 + 4z + -4z Combine like terms: 7z + -4z = 3z -3 + 3z = 6 + 4z + -4z Combine like terms: 4z + -4z = 0 -3 + 3z = 6 + 0 -3 + 3z = 6 Add '3' to each side of the equation. -3 + 3 + 3z = 6 + 3 Combine like terms: -3 + 3 = 0 0 + 3z = 6 + 3 3z = 6 + 3 Combine like terms: 6 + 3 = 9 3z = 9 Divide each side by '3'. z = 3 Simplifying z = 3
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