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Simplifying -1.5w + 4.2 = -3.2w + -2.6 Reorder the terms: 4.2 + -1.5w = -3.2w + -2.6 Reorder the terms: 4.2 + -1.5w = -2.6 + -3.2w Solving 4.2 + -1.5w = -2.6 + -3.2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3.2w' to each side of the equation. 4.2 + -1.5w + 3.2w = -2.6 + -3.2w + 3.2w Combine like terms: -1.5w + 3.2w = 1.7w 4.2 + 1.7w = -2.6 + -3.2w + 3.2w Combine like terms: -3.2w + 3.2w = 0.0 4.2 + 1.7w = -2.6 + 0.0 4.2 + 1.7w = -2.6 Add '-4.2' to each side of the equation. 4.2 + -4.2 + 1.7w = -2.6 + -4.2 Combine like terms: 4.2 + -4.2 = 0.0 0.0 + 1.7w = -2.6 + -4.2 1.7w = -2.6 + -4.2 Combine like terms: -2.6 + -4.2 = -6.8 1.7w = -6.8 Divide each side by '1.7'. w = -4 Simplifying w = -4
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