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Simplifying 7(z + 8) = 76 + 2z Reorder the terms: 7(8 + z) = 76 + 2z (8 * 7 + z * 7) = 76 + 2z (56 + 7z) = 76 + 2z Solving 56 + 7z = 76 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. 56 + 7z + -2z = 76 + 2z + -2z Combine like terms: 7z + -2z = 5z 56 + 5z = 76 + 2z + -2z Combine like terms: 2z + -2z = 0 56 + 5z = 76 + 0 56 + 5z = 76 Add '-56' to each side of the equation. 56 + -56 + 5z = 76 + -56 Combine like terms: 56 + -56 = 0 0 + 5z = 76 + -56 5z = 76 + -56 Combine like terms: 76 + -56 = 20 5z = 20 Divide each side by '5'. z = 4 Simplifying z = 4
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