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Simplifying (3z + -1) + (z + 7) = 90 Reorder the terms: (-1 + 3z) + (z + 7) = 90 Remove parenthesis around (-1 + 3z) -1 + 3z + (z + 7) = 90 Reorder the terms: -1 + 3z + (7 + z) = 90 Remove parenthesis around (7 + z) -1 + 3z + 7 + z = 90 Reorder the terms: -1 + 7 + 3z + z = 90 Combine like terms: -1 + 7 = 6 6 + 3z + z = 90 Combine like terms: 3z + z = 4z 6 + 4z = 90 Solving 6 + 4z = 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 + 4z = 90 + -6 Combine like terms: 6 + -6 = 0 0 + 4z = 90 + -6 4z = 90 + -6 Combine like terms: 90 + -6 = 84 4z = 84 Divide each side by '4'. z = 21 Simplifying z = 21
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