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Simplifying 5(z + 1) = 3(z + 2) + 11 + z Reorder the terms: 5(1 + z) = 3(z + 2) + 11 + z (1 * 5 + z * 5) = 3(z + 2) + 11 + z (5 + 5z) = 3(z + 2) + 11 + z Reorder the terms: 5 + 5z = 3(2 + z) + 11 + z 5 + 5z = (2 * 3 + z * 3) + 11 + z 5 + 5z = (6 + 3z) + 11 + z Reorder the terms: 5 + 5z = 6 + 11 + 3z + z Combine like terms: 6 + 11 = 17 5 + 5z = 17 + 3z + z Combine like terms: 3z + z = 4z 5 + 5z = 17 + 4z Solving 5 + 5z = 17 + 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. 5 + 5z + -4z = 17 + 4z + -4z Combine like terms: 5z + -4z = 1z 5 + 1z = 17 + 4z + -4z Combine like terms: 4z + -4z = 0 5 + 1z = 17 + 0 5 + 1z = 17 Add '-5' to each side of the equation. 5 + -5 + 1z = 17 + -5 Combine like terms: 5 + -5 = 0 0 + 1z = 17 + -5 1z = 17 + -5 Combine like terms: 17 + -5 = 12 1z = 12 Divide each side by '1'. z = 12 Simplifying z = 12
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