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Simplifying 1.5(4w + 1) = 2.5w + 1 Reorder the terms: 1.5(1 + 4w) = 2.5w + 1 (1 * 1.5 + 4w * 1.5) = 2.5w + 1 (1.5 + 6w) = 2.5w + 1 Reorder the terms: 1.5 + 6w = 1 + 2.5w Solving 1.5 + 6w = 1 + 2.5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2.5w' to each side of the equation. 1.5 + 6w + -2.5w = 1 + 2.5w + -2.5w Combine like terms: 6w + -2.5w = 3.5w 1.5 + 3.5w = 1 + 2.5w + -2.5w Combine like terms: 2.5w + -2.5w = 0.0 1.5 + 3.5w = 1 + 0.0 1.5 + 3.5w = 1 Add '-1.5' to each side of the equation. 1.5 + -1.5 + 3.5w = 1 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + 3.5w = 1 + -1.5 3.5w = 1 + -1.5 Combine like terms: 1 + -1.5 = -0.5 3.5w = -0.5 Divide each side by '3.5'. w = -0.1428571429 Simplifying w = -0.1428571429
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