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Simplifying -1(w + 4) = -3w + 7 Reorder the terms: -1(4 + w) = -3w + 7 (4 * -1 + w * -1) = -3w + 7 (-4 + -1w) = -3w + 7 Reorder the terms: -4 + -1w = 7 + -3w Solving -4 + -1w = 7 + -3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3w' to each side of the equation. -4 + -1w + 3w = 7 + -3w + 3w Combine like terms: -1w + 3w = 2w -4 + 2w = 7 + -3w + 3w Combine like terms: -3w + 3w = 0 -4 + 2w = 7 + 0 -4 + 2w = 7 Add '4' to each side of the equation. -4 + 4 + 2w = 7 + 4 Combine like terms: -4 + 4 = 0 0 + 2w = 7 + 4 2w = 7 + 4 Combine like terms: 7 + 4 = 11 2w = 11 Divide each side by '2'. w = 5.5 Simplifying w = 5.5
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