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Simplifying z + (10z + -126) + (10z + -42) = 189 Reorder the terms: z + (-126 + 10z) + (10z + -42) = 189 Remove parenthesis around (-126 + 10z) z + -126 + 10z + (10z + -42) = 189 Reorder the terms: z + -126 + 10z + (-42 + 10z) = 189 Remove parenthesis around (-42 + 10z) z + -126 + 10z + -42 + 10z = 189 Reorder the terms: -126 + -42 + z + 10z + 10z = 189 Combine like terms: -126 + -42 = -168 -168 + z + 10z + 10z = 189 Combine like terms: z + 10z = 11z -168 + 11z + 10z = 189 Combine like terms: 11z + 10z = 21z -168 + 21z = 189 Solving -168 + 21z = 189 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '168' to each side of the equation. -168 + 168 + 21z = 189 + 168 Combine like terms: -168 + 168 = 0 0 + 21z = 189 + 168 21z = 189 + 168 Combine like terms: 189 + 168 = 357 21z = 357 Divide each side by '21'. z = 17 Simplifying z = 17
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