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Simplifying 208 = 2(5z + 2) + 2(4z + 3) Reorder the terms: 208 = 2(2 + 5z) + 2(4z + 3) 208 = (2 * 2 + 5z * 2) + 2(4z + 3) 208 = (4 + 10z) + 2(4z + 3) Reorder the terms: 208 = 4 + 10z + 2(3 + 4z) 208 = 4 + 10z + (3 * 2 + 4z * 2) 208 = 4 + 10z + (6 + 8z) Reorder the terms: 208 = 4 + 6 + 10z + 8z Combine like terms: 4 + 6 = 10 208 = 10 + 10z + 8z Combine like terms: 10z + 8z = 18z 208 = 10 + 18z Solving 208 = 10 + 18z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-18z' to each side of the equation. 208 + -18z = 10 + 18z + -18z Combine like terms: 18z + -18z = 0 208 + -18z = 10 + 0 208 + -18z = 10 Add '-208' to each side of the equation. 208 + -208 + -18z = 10 + -208 Combine like terms: 208 + -208 = 0 0 + -18z = 10 + -208 -18z = 10 + -208 Combine like terms: 10 + -208 = -198 -18z = -198 Divide each side by '-18'. z = 11 Simplifying z = 11
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