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Simplifying 18.5 = -2(3.5z + -7.5) Reorder the terms: 18.5 = -2(-7.5 + 3.5z) 18.5 = (-7.5 * -2 + 3.5z * -2) 18.5 = (15 + -7z) Solving 18.5 = 15 + -7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '7z' to each side of the equation. 18.5 + 7z = 15 + -7z + 7z Combine like terms: -7z + 7z = 0 18.5 + 7z = 15 + 0 18.5 + 7z = 15 Add '-18.5' to each side of the equation. 18.5 + -18.5 + 7z = 15 + -18.5 Combine like terms: 18.5 + -18.5 = 0.0 0.0 + 7z = 15 + -18.5 7z = 15 + -18.5 Combine like terms: 15 + -18.5 = -3.5 7z = -3.5 Divide each side by '7'. z = -0.5 Simplifying z = -0.5
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