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Simplifying 7(z + 3) = 4(z + 2) + -11 Reorder the terms: 7(3 + z) = 4(z + 2) + -11 (3 * 7 + z * 7) = 4(z + 2) + -11 (21 + 7z) = 4(z + 2) + -11 Reorder the terms: 21 + 7z = 4(2 + z) + -11 21 + 7z = (2 * 4 + z * 4) + -11 21 + 7z = (8 + 4z) + -11 Reorder the terms: 21 + 7z = 8 + -11 + 4z Combine like terms: 8 + -11 = -3 21 + 7z = -3 + 4z Solving 21 + 7z = -3 + 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. 21 + 7z + -4z = -3 + 4z + -4z Combine like terms: 7z + -4z = 3z 21 + 3z = -3 + 4z + -4z Combine like terms: 4z + -4z = 0 21 + 3z = -3 + 0 21 + 3z = -3 Add '-21' to each side of the equation. 21 + -21 + 3z = -3 + -21 Combine like terms: 21 + -21 = 0 0 + 3z = -3 + -21 3z = -3 + -21 Combine like terms: -3 + -21 = -24 3z = -24 Divide each side by '3'. z = -8 Simplifying z = -8
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