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Simplifying 7(z + 11) = (z + 38) Reorder the terms: 7(11 + z) = (z + 38) (11 * 7 + z * 7) = (z + 38) (77 + 7z) = (z + 38) Reorder the terms: 77 + 7z = (38 + z) Remove parenthesis around (38 + z) 77 + 7z = 38 + z Solving 77 + 7z = 38 + z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. 77 + 7z + -1z = 38 + z + -1z Combine like terms: 7z + -1z = 6z 77 + 6z = 38 + z + -1z Combine like terms: z + -1z = 0 77 + 6z = 38 + 0 77 + 6z = 38 Add '-77' to each side of the equation. 77 + -77 + 6z = 38 + -77 Combine like terms: 77 + -77 = 0 0 + 6z = 38 + -77 6z = 38 + -77 Combine like terms: 38 + -77 = -39 6z = -39 Divide each side by '6'. z = -6.5 Simplifying z = -6.5
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