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Simplifying 3z + 2 = (z + -3) + 9 Reorder the terms: 2 + 3z = (z + -3) + 9 Reorder the terms: 2 + 3z = (-3 + z) + 9 Remove parenthesis around (-3 + z) 2 + 3z = -3 + z + 9 Reorder the terms: 2 + 3z = -3 + 9 + z Combine like terms: -3 + 9 = 6 2 + 3z = 6 + z Solving 2 + 3z = 6 + z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. 2 + 3z + -1z = 6 + z + -1z Combine like terms: 3z + -1z = 2z 2 + 2z = 6 + z + -1z Combine like terms: z + -1z = 0 2 + 2z = 6 + 0 2 + 2z = 6 Add '-2' to each side of the equation. 2 + -2 + 2z = 6 + -2 Combine like terms: 2 + -2 = 0 0 + 2z = 6 + -2 2z = 6 + -2 Combine like terms: 6 + -2 = 4 2z = 4 Divide each side by '2'. z = 2 Simplifying z = 2
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