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Simplifying 3.5 + 8 = 2(z + 7) Combine like terms: 3.5 + 8 = 11.5 11.5 = 2(z + 7) Reorder the terms: 11.5 = 2(7 + z) 11.5 = (7 * 2 + z * 2) 11.5 = (14 + 2z) Solving 11.5 = 14 + 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. 11.5 + -2z = 14 + 2z + -2z Combine like terms: 2z + -2z = 0 11.5 + -2z = 14 + 0 11.5 + -2z = 14 Add '-11.5' to each side of the equation. 11.5 + -11.5 + -2z = 14 + -11.5 Combine like terms: 11.5 + -11.5 = 0.0 0.0 + -2z = 14 + -11.5 -2z = 14 + -11.5 Combine like terms: 14 + -11.5 = 2.5 -2z = 2.5 Divide each side by '-2'. z = -1.25 Simplifying z = -1.25
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