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Simplifying 2(7z + 4) = 14z + 2(z + 12) Reorder the terms: 2(4 + 7z) = 14z + 2(z + 12) (4 * 2 + 7z * 2) = 14z + 2(z + 12) (8 + 14z) = 14z + 2(z + 12) Reorder the terms: 8 + 14z = 14z + 2(12 + z) 8 + 14z = 14z + (12 * 2 + z * 2) 8 + 14z = 14z + (24 + 2z) Reorder the terms: 8 + 14z = 24 + 14z + 2z Combine like terms: 14z + 2z = 16z 8 + 14z = 24 + 16z Solving 8 + 14z = 24 + 16z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-16z' to each side of the equation. 8 + 14z + -16z = 24 + 16z + -16z Combine like terms: 14z + -16z = -2z 8 + -2z = 24 + 16z + -16z Combine like terms: 16z + -16z = 0 8 + -2z = 24 + 0 8 + -2z = 24 Add '-8' to each side of the equation. 8 + -8 + -2z = 24 + -8 Combine like terms: 8 + -8 = 0 0 + -2z = 24 + -8 -2z = 24 + -8 Combine like terms: 24 + -8 = 16 -2z = 16 Divide each side by '-2'. z = -8 Simplifying z = -8
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