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Simplifying 5(z + 1) = 3(z + 6) + 11 Reorder the terms: 5(1 + z) = 3(z + 6) + 11 (1 * 5 + z * 5) = 3(z + 6) + 11 (5 + 5z) = 3(z + 6) + 11 Reorder the terms: 5 + 5z = 3(6 + z) + 11 5 + 5z = (6 * 3 + z * 3) + 11 5 + 5z = (18 + 3z) + 11 Reorder the terms: 5 + 5z = 18 + 11 + 3z Combine like terms: 18 + 11 = 29 5 + 5z = 29 + 3z Solving 5 + 5z = 29 + 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. 5 + 5z + -3z = 29 + 3z + -3z Combine like terms: 5z + -3z = 2z 5 + 2z = 29 + 3z + -3z Combine like terms: 3z + -3z = 0 5 + 2z = 29 + 0 5 + 2z = 29 Add '-5' to each side of the equation. 5 + -5 + 2z = 29 + -5 Combine like terms: 5 + -5 = 0 0 + 2z = 29 + -5 2z = 29 + -5 Combine like terms: 29 + -5 = 24 2z = 24 Divide each side by '2'. z = 12 Simplifying z = 12
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