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Simplifying 4w + -1(2 + 5w) = -2w + -3 4w + (2 * -1 + 5w * -1) = -2w + -3 4w + (-2 + -5w) = -2w + -3 Reorder the terms: -2 + 4w + -5w = -2w + -3 Combine like terms: 4w + -5w = -1w -2 + -1w = -2w + -3 Reorder the terms: -2 + -1w = -3 + -2w Solving -2 + -1w = -3 + -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. -2 + -1w + 2w = -3 + -2w + 2w Combine like terms: -1w + 2w = 1w -2 + 1w = -3 + -2w + 2w Combine like terms: -2w + 2w = 0 -2 + 1w = -3 + 0 -2 + 1w = -3 Add '2' to each side of the equation. -2 + 2 + 1w = -3 + 2 Combine like terms: -2 + 2 = 0 0 + 1w = -3 + 2 1w = -3 + 2 Combine like terms: -3 + 2 = -1 1w = -1 Divide each side by '1'. w = -1 Simplifying w = -1
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