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Simplifying (z + -35) + 30 + (z + -47) = 180 Reorder the terms: (-35 + z) + 30 + (z + -47) = 180 Remove parenthesis around (-35 + z) -35 + z + 30 + (z + -47) = 180 Reorder the terms: -35 + z + 30 + (-47 + z) = 180 Remove parenthesis around (-47 + z) -35 + z + 30 + -47 + z = 180 Reorder the terms: -35 + 30 + -47 + z + z = 180 Combine like terms: -35 + 30 = -5 -5 + -47 + z + z = 180 Combine like terms: -5 + -47 = -52 -52 + z + z = 180 Combine like terms: z + z = 2z -52 + 2z = 180 Solving -52 + 2z = 180 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '52' to each side of the equation. -52 + 52 + 2z = 180 + 52 Combine like terms: -52 + 52 = 0 0 + 2z = 180 + 52 2z = 180 + 52 Combine like terms: 180 + 52 = 232 2z = 232 Divide each side by '2'. z = 116 Simplifying z = 116
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