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Simplifying 3w + -4 = 5(2 + -1w) Reorder the terms: -4 + 3w = 5(2 + -1w) -4 + 3w = (2 * 5 + -1w * 5) -4 + 3w = (10 + -5w) Solving -4 + 3w = 10 + -5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '5w' to each side of the equation. -4 + 3w + 5w = 10 + -5w + 5w Combine like terms: 3w + 5w = 8w -4 + 8w = 10 + -5w + 5w Combine like terms: -5w + 5w = 0 -4 + 8w = 10 + 0 -4 + 8w = 10 Add '4' to each side of the equation. -4 + 4 + 8w = 10 + 4 Combine like terms: -4 + 4 = 0 0 + 8w = 10 + 4 8w = 10 + 4 Combine like terms: 10 + 4 = 14 8w = 14 Divide each side by '8'. w = 1.75 Simplifying w = 1.75
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