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Simplifying z + (z + -6) + -3 = 3 Reorder the terms: z + (-6 + z) + -3 = 3 Remove parenthesis around (-6 + z) z + -6 + z + -3 = 3 Reorder the terms: -6 + -3 + z + z = 3 Combine like terms: -6 + -3 = -9 -9 + z + z = 3 Combine like terms: z + z = 2z -9 + 2z = 3 Solving -9 + 2z = 3 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 2z = 3 + 9 Combine like terms: -9 + 9 = 0 0 + 2z = 3 + 9 2z = 3 + 9 Combine like terms: 3 + 9 = 12 2z = 12 Divide each side by '2'. z = 6 Simplifying z = 6
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