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Simplifying 2.5w + 2.3 = 1.5w + -4.7 Reorder the terms: 2.3 + 2.5w = 1.5w + -4.7 Reorder the terms: 2.3 + 2.5w = -4.7 + 1.5w Solving 2.3 + 2.5w = -4.7 + 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. 2.3 + 2.5w + -1.5w = -4.7 + 1.5w + -1.5w Combine like terms: 2.5w + -1.5w = 1w 2.3 + 1w = -4.7 + 1.5w + -1.5w Combine like terms: 1.5w + -1.5w = 0.0 2.3 + 1w = -4.7 + 0.0 2.3 + 1w = -4.7 Add '-2.3' to each side of the equation. 2.3 + -2.3 + 1w = -4.7 + -2.3 Combine like terms: 2.3 + -2.3 = 0.0 0.0 + 1w = -4.7 + -2.3 1w = -4.7 + -2.3 Combine like terms: -4.7 + -2.3 = -7 1w = -7 Divide each side by '1'. w = -7 Simplifying w = -7
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