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Simplifying z + 3(z + 2) = 14 + 2z Reorder the terms: z + 3(2 + z) = 14 + 2z z + (2 * 3 + z * 3) = 14 + 2z z + (6 + 3z) = 14 + 2z Reorder the terms: 6 + z + 3z = 14 + 2z Combine like terms: z + 3z = 4z 6 + 4z = 14 + 2z Solving 6 + 4z = 14 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. 6 + 4z + -2z = 14 + 2z + -2z Combine like terms: 4z + -2z = 2z 6 + 2z = 14 + 2z + -2z Combine like terms: 2z + -2z = 0 6 + 2z = 14 + 0 6 + 2z = 14 Add '-6' to each side of the equation. 6 + -6 + 2z = 14 + -6 Combine like terms: 6 + -6 = 0 0 + 2z = 14 + -6 2z = 14 + -6 Combine like terms: 14 + -6 = 8 2z = 8 Divide each side by '2'. z = 4 Simplifying z = 4
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