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Simplifying 14(4z + 8) = 7(9z + 18) Reorder the terms: 14(8 + 4z) = 7(9z + 18) (8 * 14 + 4z * 14) = 7(9z + 18) (112 + 56z) = 7(9z + 18) Reorder the terms: 112 + 56z = 7(18 + 9z) 112 + 56z = (18 * 7 + 9z * 7) 112 + 56z = (126 + 63z) Solving 112 + 56z = 126 + 63z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-63z' to each side of the equation. 112 + 56z + -63z = 126 + 63z + -63z Combine like terms: 56z + -63z = -7z 112 + -7z = 126 + 63z + -63z Combine like terms: 63z + -63z = 0 112 + -7z = 126 + 0 112 + -7z = 126 Add '-112' to each side of the equation. 112 + -112 + -7z = 126 + -112 Combine like terms: 112 + -112 = 0 0 + -7z = 126 + -112 -7z = 126 + -112 Combine like terms: 126 + -112 = 14 -7z = 14 Divide each side by '-7'. z = -2 Simplifying z = -2
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