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Simplifying 1 + -1(w + 4) = (w + 4) + -1 Reorder the terms: 1 + -1(4 + w) = (w + 4) + -1 1 + (4 * -1 + w * -1) = (w + 4) + -1 1 + (-4 + -1w) = (w + 4) + -1 Combine like terms: 1 + -4 = -3 -3 + -1w = (w + 4) + -1 Reorder the terms: -3 + -1w = (4 + w) + -1 Remove parenthesis around (4 + w) -3 + -1w = 4 + w + -1 Reorder the terms: -3 + -1w = 4 + -1 + w Combine like terms: 4 + -1 = 3 -3 + -1w = 3 + w Solving -3 + -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. -3 + -1w + -1w = 3 + w + -1w Combine like terms: -1w + -1w = -2w -3 + -2w = 3 + w + -1w Combine like terms: w + -1w = 0 -3 + -2w = 3 + 0 -3 + -2w = 3 Add '3' to each side of the equation. -3 + 3 + -2w = 3 + 3 Combine like terms: -3 + 3 = 0 0 + -2w = 3 + 3 -2w = 3 + 3 Combine like terms: 3 + 3 = 6 -2w = 6 Divide each side by '-2'. w = -3 Simplifying w = -3
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