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Simplifying (3z + 12) + (4z + -6) = 90 Reorder the terms: (12 + 3z) + (4z + -6) = 90 Remove parenthesis around (12 + 3z) 12 + 3z + (4z + -6) = 90 Reorder the terms: 12 + 3z + (-6 + 4z) = 90 Remove parenthesis around (-6 + 4z) 12 + 3z + -6 + 4z = 90 Reorder the terms: 12 + -6 + 3z + 4z = 90 Combine like terms: 12 + -6 = 6 6 + 3z + 4z = 90 Combine like terms: 3z + 4z = 7z 6 + 7z = 90 Solving 6 + 7z = 90 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 7z = 90 + -6 Combine like terms: 6 + -6 = 0 0 + 7z = 90 + -6 7z = 90 + -6 Combine like terms: 90 + -6 = 84 7z = 84 Divide each side by '7'. z = 12 Simplifying z = 12
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