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Simplifying 4z + 2(z + 4) = 3z + 11 Reorder the terms: 4z + 2(4 + z) = 3z + 11 4z + (4 * 2 + z * 2) = 3z + 11 4z + (8 + 2z) = 3z + 11 Reorder the terms: 8 + 4z + 2z = 3z + 11 Combine like terms: 4z + 2z = 6z 8 + 6z = 3z + 11 Reorder the terms: 8 + 6z = 11 + 3z Solving 8 + 6z = 11 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. 8 + 6z + -3z = 11 + 3z + -3z Combine like terms: 6z + -3z = 3z 8 + 3z = 11 + 3z + -3z Combine like terms: 3z + -3z = 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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