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Simplifying 7(z + 5) = 90 + 2z Reorder the terms: 7(5 + z) = 90 + 2z (5 * 7 + z * 7) = 90 + 2z (35 + 7z) = 90 + 2z Solving 35 + 7z = 90 + 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. 35 + 7z + -2z = 90 + 2z + -2z Combine like terms: 7z + -2z = 5z 35 + 5z = 90 + 2z + -2z Combine like terms: 2z + -2z = 0 35 + 5z = 90 + 0 35 + 5z = 90 Add '-35' to each side of the equation. 35 + -35 + 5z = 90 + -35 Combine like terms: 35 + -35 = 0 0 + 5z = 90 + -35 5z = 90 + -35 Combine like terms: 90 + -35 = 55 5z = 55 Divide each side by '5'. z = 11 Simplifying z = 11
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