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Simplifying 3z + 11 + 12 + (z + 2) + (2z + 3) = 70 Reorder the terms: 3z + 11 + 12 + (2 + z) + (2z + 3) = 70 Remove parenthesis around (2 + z) 3z + 11 + 12 + 2 + z + (2z + 3) = 70 Reorder the terms: 3z + 11 + 12 + 2 + z + (3 + 2z) = 70 Remove parenthesis around (3 + 2z) 3z + 11 + 12 + 2 + z + 3 + 2z = 70 Reorder the terms: 11 + 12 + 2 + 3 + 3z + z + 2z = 70 Combine like terms: 11 + 12 = 23 23 + 2 + 3 + 3z + z + 2z = 70 Combine like terms: 23 + 2 = 25 25 + 3 + 3z + z + 2z = 70 Combine like terms: 25 + 3 = 28 28 + 3z + z + 2z = 70 Combine like terms: 3z + z = 4z 28 + 4z + 2z = 70 Combine like terms: 4z + 2z = 6z 28 + 6z = 70 Solving 28 + 6z = 70 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 6z = 70 + -28 Combine like terms: 28 + -28 = 0 0 + 6z = 70 + -28 6z = 70 + -28 Combine like terms: 70 + -28 = 42 6z = 42 Divide each side by '6'. z = 7 Simplifying z = 7
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