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Simplifying 7(z + 4) = 64 + 3z Reorder the terms: 7(4 + z) = 64 + 3z (4 * 7 + z * 7) = 64 + 3z (28 + 7z) = 64 + 3z Solving 28 + 7z = 64 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. 28 + 7z + -3z = 64 + 3z + -3z Combine like terms: 7z + -3z = 4z 28 + 4z = 64 + 3z + -3z Combine like terms: 3z + -3z = 0 28 + 4z = 64 + 0 28 + 4z = 64 Add '-28' to each side of the equation. 28 + -28 + 4z = 64 + -28 Combine like terms: 28 + -28 = 0 0 + 4z = 64 + -28 4z = 64 + -28 Combine like terms: 64 + -28 = 36 4z = 36 Divide each side by '4'. z = 9 Simplifying z = 9
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