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Simplifying 5 + -1(w + 3) = -2(w + 3) Reorder the terms: 5 + -1(3 + w) = -2(w + 3) 5 + (3 * -1 + w * -1) = -2(w + 3) 5 + (-3 + -1w) = -2(w + 3) Combine like terms: 5 + -3 = 2 2 + -1w = -2(w + 3) Reorder the terms: 2 + -1w = -2(3 + w) 2 + -1w = (3 * -2 + w * -2) 2 + -1w = (-6 + -2w) Solving 2 + -1w = -6 + -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 = -6 + -2w + 2w Combine like terms: -1w + 2w = 1w 2 + 1w = -6 + -2w + 2w Combine like terms: -2w + 2w = 0 2 + 1w = -6 + 0 2 + 1w = -6 Add '-2' to each side of the equation. 2 + -2 + 1w = -6 + -2 Combine like terms: 2 + -2 = 0 0 + 1w = -6 + -2 1w = -6 + -2 Combine like terms: -6 + -2 = -8 1w = -8 Divide each side by '1'. w = -8 Simplifying w = -8
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