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Simplifying z + (z + -6) + -2 = -10 Reorder the terms: z + (-6 + z) + -2 = -10 Remove parenthesis around (-6 + z) z + -6 + z + -2 = -10 Reorder the terms: -6 + -2 + z + z = -10 Combine like terms: -6 + -2 = -8 -8 + z + z = -10 Combine like terms: z + z = 2z -8 + 2z = -10 Solving -8 + 2z = -10 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 2z = -10 + 8 Combine like terms: -8 + 8 = 0 0 + 2z = -10 + 8 2z = -10 + 8 Combine like terms: -10 + 8 = -2 2z = -2 Divide each side by '2'. z = -1 Simplifying z = -1
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