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