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Simplifying 0.7w + 2.8 + 0.3w + -1.96 = 7.35 Reorder the terms: 2.8 + -1.96 + 0.7w + 0.3w = 7.35 Combine like terms: 2.8 + -1.96 = 0.84 0.84 + 0.7w + 0.3w = 7.35 Combine like terms: 0.7w + 0.3w = 1w 0.84 + 1w = 7.35 Solving 0.84 + 1w = 7.35 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-0.84' to each side of the equation. 0.84 + -0.84 + 1w = 7.35 + -0.84 Combine like terms: 0.84 + -0.84 = 0.00 0.00 + 1w = 7.35 + -0.84 1w = 7.35 + -0.84 Combine like terms: 7.35 + -0.84 = 6.51 1w = 6.51 Divide each side by '1'. w = 6.51 Simplifying w = 6.51
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