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Simplifying 180 + -1(6z + -9) = 180 + -1(90 + 2z + 1) Reorder the terms: 180 + -1(-9 + 6z) = 180 + -1(90 + 2z + 1) 180 + (-9 * -1 + 6z * -1) = 180 + -1(90 + 2z + 1) 180 + (9 + -6z) = 180 + -1(90 + 2z + 1) Combine like terms: 180 + 9 = 189 189 + -6z = 180 + -1(90 + 2z + 1) Reorder the terms: 189 + -6z = 180 + -1(90 + 1 + 2z) Combine like terms: 90 + 1 = 91 189 + -6z = 180 + -1(91 + 2z) 189 + -6z = 180 + (91 * -1 + 2z * -1) 189 + -6z = 180 + (-91 + -2z) Combine like terms: 180 + -91 = 89 189 + -6z = 89 + -2z Solving 189 + -6z = 89 + -2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2z' to each side of the equation. 189 + -6z + 2z = 89 + -2z + 2z Combine like terms: -6z + 2z = -4z 189 + -4z = 89 + -2z + 2z Combine like terms: -2z + 2z = 0 189 + -4z = 89 + 0 189 + -4z = 89 Add '-189' to each side of the equation. 189 + -189 + -4z = 89 + -189 Combine like terms: 189 + -189 = 0 0 + -4z = 89 + -189 -4z = 89 + -189 Combine like terms: 89 + -189 = -100 -4z = -100 Divide each side by '-4'. z = 25 Simplifying z = 25
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