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Simplifying 2w + -7.9 = -4.75 + -3w Reorder the terms: -7.9 + 2w = -4.75 + -3w Solving -7.9 + 2w = -4.75 + -3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3w' to each side of the equation. -7.9 + 2w + 3w = -4.75 + -3w + 3w Combine like terms: 2w + 3w = 5w -7.9 + 5w = -4.75 + -3w + 3w Combine like terms: -3w + 3w = 0 -7.9 + 5w = -4.75 + 0 -7.9 + 5w = -4.75 Add '7.9' to each side of the equation. -7.9 + 7.9 + 5w = -4.75 + 7.9 Combine like terms: -7.9 + 7.9 = 0.0 0.0 + 5w = -4.75 + 7.9 5w = -4.75 + 7.9 Combine like terms: -4.75 + 7.9 = 3.15 5w = 3.15 Divide each side by '5'. w = 0.63 Simplifying w = 0.63
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