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Simplifying (5z + -6) + (2z + -3) = 180 Reorder the terms: (-6 + 5z) + (2z + -3) = 180 Remove parenthesis around (-6 + 5z) -6 + 5z + (2z + -3) = 180 Reorder the terms: -6 + 5z + (-3 + 2z) = 180 Remove parenthesis around (-3 + 2z) -6 + 5z + -3 + 2z = 180 Reorder the terms: -6 + -3 + 5z + 2z = 180 Combine like terms: -6 + -3 = -9 -9 + 5z + 2z = 180 Combine like terms: 5z + 2z = 7z -9 + 7z = 180 Solving -9 + 7z = 180 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 + 7z = 180 + 9 Combine like terms: -9 + 9 = 0 0 + 7z = 180 + 9 7z = 180 + 9 Combine like terms: 180 + 9 = 189 7z = 189 Divide each side by '7'. z = 27 Simplifying z = 27
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