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Simplifying 1.5w + 0.7 = 2.5(w + 1.2) Reorder the terms: 0.7 + 1.5w = 2.5(w + 1.2) Reorder the terms: 0.7 + 1.5w = 2.5(1.2 + w) 0.7 + 1.5w = (1.2 * 2.5 + w * 2.5) 0.7 + 1.5w = (3 + 2.5w) Solving 0.7 + 1.5w = 3 + 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. 0.7 + 1.5w + -2.5w = 3 + 2.5w + -2.5w Combine like terms: 1.5w + -2.5w = -1w 0.7 + -1w = 3 + 2.5w + -2.5w Combine like terms: 2.5w + -2.5w = 0.0 0.7 + -1w = 3 + 0.0 0.7 + -1w = 3 Add '-0.7' to each side of the equation. 0.7 + -0.7 + -1w = 3 + -0.7 Combine like terms: 0.7 + -0.7 = 0.0 0.0 + -1w = 3 + -0.7 -1w = 3 + -0.7 Combine like terms: 3 + -0.7 = 2.3 -1w = 2.3 Divide each side by '-1'. w = -2.3 Simplifying w = -2.3
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