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Simplifying 3z + 8 + 4z = 7 + -4z Reorder the terms: 8 + 3z + 4z = 7 + -4z Combine like terms: 3z + 4z = 7z 8 + 7z = 7 + -4z Solving 8 + 7z = 7 + -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. 8 + 7z + 4z = 7 + -4z + 4z Combine like terms: 7z + 4z = 11z 8 + 11z = 7 + -4z + 4z Combine like terms: -4z + 4z = 0 8 + 11z = 7 + 0 8 + 11z = 7 Add '-8' to each side of the equation. 8 + -8 + 11z = 7 + -8 Combine like terms: 8 + -8 = 0 0 + 11z = 7 + -8 11z = 7 + -8 Combine like terms: 7 + -8 = -1 11z = -1 Divide each side by '11'. z = -0.09090909091 Simplifying z = -0.09090909091
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