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Simplifying 3z + 4(2 + z) = 10z + 11 3z + (2 * 4 + z * 4) = 10z + 11 3z + (8 + 4z) = 10z + 11 Reorder the terms: 8 + 3z + 4z = 10z + 11 Combine like terms: 3z + 4z = 7z 8 + 7z = 10z + 11 Reorder the terms: 8 + 7z = 11 + 10z Solving 8 + 7z = 11 + 10z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-10z' to each side of the equation. 8 + 7z + -10z = 11 + 10z + -10z Combine like terms: 7z + -10z = -3z 8 + -3z = 11 + 10z + -10z Combine like terms: 10z + -10z = 0 8 + -3z = 11 + 0 8 + -3z = 11 Add '-8' to each side of the equation. 8 + -8 + -3z = 11 + -8 Combine like terms: 8 + -8 = 0 0 + -3z = 11 + -8 -3z = 11 + -8 Combine like terms: 11 + -8 = 3 -3z = 3 Divide each side by '-3'. z = -1 Simplifying z = -1
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