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Simplifying -5w + 3 = (1 + -2w) Reorder the terms: 3 + -5w = (1 + -2w) Remove parenthesis around (1 + -2w) 3 + -5w = 1 + -2w Solving 3 + -5w = 1 + -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. 3 + -5w + 2w = 1 + -2w + 2w Combine like terms: -5w + 2w = -3w 3 + -3w = 1 + -2w + 2w Combine like terms: -2w + 2w = 0 3 + -3w = 1 + 0 3 + -3w = 1 Add '-3' to each side of the equation. 3 + -3 + -3w = 1 + -3 Combine like terms: 3 + -3 = 0 0 + -3w = 1 + -3 -3w = 1 + -3 Combine like terms: 1 + -3 = -2 -3w = -2 Divide each side by '-3'. w = 0.6666666667 Simplifying w = 0.6666666667
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