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Simplifying 7(z + 11) = 4(2 + 38) Reorder the terms: 7(11 + z) = 4(2 + 38) (11 * 7 + z * 7) = 4(2 + 38) (77 + 7z) = 4(2 + 38) Combine like terms: 2 + 38 = 40 77 + 7z = 4(40) Multiply 4 * 40 77 + 7z = 160 Solving 77 + 7z = 160 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-77' to each side of the equation. 77 + -77 + 7z = 160 + -77 Combine like terms: 77 + -77 = 0 0 + 7z = 160 + -77 7z = 160 + -77 Combine like terms: 160 + -77 = 83 7z = 83 Divide each side by '7'. z = 11.85714286 Simplifying z = 11.85714286
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