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Simplifying 1.3w + -1.2 + 1.6w = 7.2 + -2w + 6.3 Reorder the terms: -1.2 + 1.3w + 1.6w = 7.2 + -2w + 6.3 Combine like terms: 1.3w + 1.6w = 2.9w -1.2 + 2.9w = 7.2 + -2w + 6.3 Reorder the terms: -1.2 + 2.9w = 7.2 + 6.3 + -2w Combine like terms: 7.2 + 6.3 = 13.5 -1.2 + 2.9w = 13.5 + -2w Solving -1.2 + 2.9w = 13.5 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. -1.2 + 2.9w + 2w = 13.5 + -2w + 2w Combine like terms: 2.9w + 2w = 4.9w -1.2 + 4.9w = 13.5 + -2w + 2w Combine like terms: -2w + 2w = 0 -1.2 + 4.9w = 13.5 + 0 -1.2 + 4.9w = 13.5 Add '1.2' to each side of the equation. -1.2 + 1.2 + 4.9w = 13.5 + 1.2 Combine like terms: -1.2 + 1.2 = 0.0 0.0 + 4.9w = 13.5 + 1.2 4.9w = 13.5 + 1.2 Combine like terms: 13.5 + 1.2 = 14.7 4.9w = 14.7 Divide each side by '4.9'. w = 3 Simplifying w = 3
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