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Simplifying 7(z + 11) = 49(z + 38) Reorder the terms: 7(11 + z) = 49(z + 38) (11 * 7 + z * 7) = 49(z + 38) (77 + 7z) = 49(z + 38) Reorder the terms: 77 + 7z = 49(38 + z) 77 + 7z = (38 * 49 + z * 49) 77 + 7z = (1862 + 49z) Solving 77 + 7z = 1862 + 49z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-49z' to each side of the equation. 77 + 7z + -49z = 1862 + 49z + -49z Combine like terms: 7z + -49z = -42z 77 + -42z = 1862 + 49z + -49z Combine like terms: 49z + -49z = 0 77 + -42z = 1862 + 0 77 + -42z = 1862 Add '-77' to each side of the equation. 77 + -77 + -42z = 1862 + -77 Combine like terms: 77 + -77 = 0 0 + -42z = 1862 + -77 -42z = 1862 + -77 Combine like terms: 1862 + -77 = 1785 -42z = 1785 Divide each side by '-42'. z = -42.5 Simplifying z = -42.5
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