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Simplifying 4 + 7z = 2(90 + -2z) 4 + 7z = (90 * 2 + -2z * 2) 4 + 7z = (180 + -4z) Solving 4 + 7z = 180 + -4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '4z' to each side of the equation. 4 + 7z + 4z = 180 + -4z + 4z Combine like terms: 7z + 4z = 11z 4 + 11z = 180 + -4z + 4z Combine like terms: -4z + 4z = 0 4 + 11z = 180 + 0 4 + 11z = 180 Add '-4' to each side of the equation. 4 + -4 + 11z = 180 + -4 Combine like terms: 4 + -4 = 0 0 + 11z = 180 + -4 11z = 180 + -4 Combine like terms: 180 + -4 = 176 11z = 176 Divide each side by '11'. z = 16 Simplifying z = 16
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