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Simplifying 3(z + 2) = 5z + 16 Reorder the terms: 3(2 + z) = 5z + 16 (2 * 3 + z * 3) = 5z + 16 (6 + 3z) = 5z + 16 Reorder the terms: 6 + 3z = 16 + 5z Solving 6 + 3z = 16 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 6 + 3z + -5z = 16 + 5z + -5z Combine like terms: 3z + -5z = -2z 6 + -2z = 16 + 5z + -5z Combine like terms: 5z + -5z = 0 6 + -2z = 16 + 0 6 + -2z = 16 Add '-6' to each side of the equation. 6 + -6 + -2z = 16 + -6 Combine like terms: 6 + -6 = 0 0 + -2z = 16 + -6 -2z = 16 + -6 Combine like terms: 16 + -6 = 10 -2z = 10 Divide each side by '-2'. z = -5 Simplifying z = -5
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