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Simplifying 8 + 4z = 11 + (3z + 5) Reorder the terms: 8 + 4z = 11 + (5 + 3z) Remove parenthesis around (5 + 3z) 8 + 4z = 11 + 5 + 3z Combine like terms: 11 + 5 = 16 8 + 4z = 16 + 3z Solving 8 + 4z = 16 + 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 + 4z + -3z = 16 + 3z + -3z Combine like terms: 4z + -3z = 1z 8 + 1z = 16 + 3z + -3z Combine like terms: 3z + -3z = 0 8 + 1z = 16 + 0 8 + 1z = 16 Add '-8' to each side of the equation. 8 + -8 + 1z = 16 + -8 Combine like terms: 8 + -8 = 0 0 + 1z = 16 + -8 1z = 16 + -8 Combine like terms: 16 + -8 = 8 1z = 8 Divide each side by '1'. z = 8 Simplifying z = 8
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