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