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Simplifying 7(z + 2) = 4(z + 1) + -14 Reorder the terms: 7(2 + z) = 4(z + 1) + -14 (2 * 7 + z * 7) = 4(z + 1) + -14 (14 + 7z) = 4(z + 1) + -14 Reorder the terms: 14 + 7z = 4(1 + z) + -14 14 + 7z = (1 * 4 + z * 4) + -14 14 + 7z = (4 + 4z) + -14 Reorder the terms: 14 + 7z = 4 + -14 + 4z Combine like terms: 4 + -14 = -10 14 + 7z = -10 + 4z Solving 14 + 7z = -10 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 14 + 7z + -4z = -10 + 4z + -4z Combine like terms: 7z + -4z = 3z 14 + 3z = -10 + 4z + -4z Combine like terms: 4z + -4z = 0 14 + 3z = -10 + 0 14 + 3z = -10 Add '-14' to each side of the equation. 14 + -14 + 3z = -10 + -14 Combine like terms: 14 + -14 = 0 0 + 3z = -10 + -14 3z = -10 + -14 Combine like terms: -10 + -14 = -24 3z = -24 Divide each side by '3'. z = -8 Simplifying z = -8
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