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