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Simplifying 18 = 0.75(2w + -1) Reorder the terms: 18 = 0.75(-1 + 2w) 18 = (-1 * 0.75 + 2w * 0.75) 18 = (-0.75 + 1.5w) Solving 18 = -0.75 + 1.5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1.5w' to each side of the equation. 18 + -1.5w = -0.75 + 1.5w + -1.5w Combine like terms: 1.5w + -1.5w = 0.0 18 + -1.5w = -0.75 + 0.0 18 + -1.5w = -0.75 Add '-18' to each side of the equation. 18 + -18 + -1.5w = -0.75 + -18 Combine like terms: 18 + -18 = 0 0 + -1.5w = -0.75 + -18 -1.5w = -0.75 + -18 Combine like terms: -0.75 + -18 = -18.75 -1.5w = -18.75 Divide each side by '-1.5'. w = 12.5 Simplifying w = 12.5
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