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Simplifying -1.5w + 3 = 2.5w + -1 Reorder the terms: 3 + -1.5w = 2.5w + -1 Reorder the terms: 3 + -1.5w = -1 + 2.5w Solving 3 + -1.5w = -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. 3 + -1.5w + -2.5w = -1 + 2.5w + -2.5w Combine like terms: -1.5w + -2.5w = -4w 3 + -4w = -1 + 2.5w + -2.5w Combine like terms: 2.5w + -2.5w = 0.0 3 + -4w = -1 + 0.0 3 + -4w = -1 Add '-3' to each side of the equation. 3 + -3 + -4w = -1 + -3 Combine like terms: 3 + -3 = 0 0 + -4w = -1 + -3 -4w = -1 + -3 Combine like terms: -1 + -3 = -4 -4w = -4 Divide each side by '-4'. w = 1 Simplifying w = 1
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