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Simplifying 7(z + 11) = 4(z + 38) Reorder the terms: 7(11 + z) = 4(z + 38) (11 * 7 + z * 7) = 4(z + 38) (77 + 7z) = 4(z + 38) Reorder the terms: 77 + 7z = 4(38 + z) 77 + 7z = (38 * 4 + z * 4) 77 + 7z = (152 + 4z) Solving 77 + 7z = 152 + 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. 77 + 7z + -4z = 152 + 4z + -4z Combine like terms: 7z + -4z = 3z 77 + 3z = 152 + 4z + -4z Combine like terms: 4z + -4z = 0 77 + 3z = 152 + 0 77 + 3z = 152 Add '-77' to each side of the equation. 77 + -77 + 3z = 152 + -77 Combine like terms: 77 + -77 = 0 0 + 3z = 152 + -77 3z = 152 + -77 Combine like terms: 152 + -77 = 75 3z = 75 Divide each side by '3'. z = 25 Simplifying z = 25
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