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Simplifying (2z + 1) + 9 = (6z + -9) Reorder the terms: (1 + 2z) + 9 = (6z + -9) Remove parenthesis around (1 + 2z) 1 + 2z + 9 = (6z + -9) Reorder the terms: 1 + 9 + 2z = (6z + -9) Combine like terms: 1 + 9 = 10 10 + 2z = (6z + -9) Reorder the terms: 10 + 2z = (-9 + 6z) Remove parenthesis around (-9 + 6z) 10 + 2z = -9 + 6z Solving 10 + 2z = -9 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. 10 + 2z + -6z = -9 + 6z + -6z Combine like terms: 2z + -6z = -4z 10 + -4z = -9 + 6z + -6z Combine like terms: 6z + -6z = 0 10 + -4z = -9 + 0 10 + -4z = -9 Add '-10' to each side of the equation. 10 + -10 + -4z = -9 + -10 Combine like terms: 10 + -10 = 0 0 + -4z = -9 + -10 -4z = -9 + -10 Combine like terms: -9 + -10 = -19 -4z = -19 Divide each side by '-4'. z = 4.75 Simplifying z = 4.75
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