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Simplifying 3(z + 2) + 4z = 28 + -2(z + 2) Reorder the terms: 3(2 + z) + 4z = 28 + -2(z + 2) (2 * 3 + z * 3) + 4z = 28 + -2(z + 2) (6 + 3z) + 4z = 28 + -2(z + 2) Combine like terms: 3z + 4z = 7z 6 + 7z = 28 + -2(z + 2) Reorder the terms: 6 + 7z = 28 + -2(2 + z) 6 + 7z = 28 + (2 * -2 + z * -2) 6 + 7z = 28 + (-4 + -2z) Combine like terms: 28 + -4 = 24 6 + 7z = 24 + -2z Solving 6 + 7z = 24 + -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 + 7z + 2z = 24 + -2z + 2z Combine like terms: 7z + 2z = 9z 6 + 9z = 24 + -2z + 2z Combine like terms: -2z + 2z = 0 6 + 9z = 24 + 0 6 + 9z = 24 Add '-6' to each side of the equation. 6 + -6 + 9z = 24 + -6 Combine like terms: 6 + -6 = 0 0 + 9z = 24 + -6 9z = 24 + -6 Combine like terms: 24 + -6 = 18 9z = 18 Divide each side by '9'. z = 2 Simplifying z = 2
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