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Simplifying -1w + -2(w + 3) = 5 + -3 + -1w Reorder the terms: -1w + -2(3 + w) = 5 + -3 + -1w -1w + (3 * -2 + w * -2) = 5 + -3 + -1w -1w + (-6 + -2w) = 5 + -3 + -1w Reorder the terms: -6 + -1w + -2w = 5 + -3 + -1w Combine like terms: -1w + -2w = -3w -6 + -3w = 5 + -3 + -1w Combine like terms: 5 + -3 = 2 -6 + -3w = 2 + -1w Solving -6 + -3w = 2 + -1w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add 'w' to each side of the equation. -6 + -3w + w = 2 + -1w + w Combine like terms: -3w + w = -2w -6 + -2w = 2 + -1w + w Combine like terms: -1w + w = 0 -6 + -2w = 2 + 0 -6 + -2w = 2 Add '6' to each side of the equation. -6 + 6 + -2w = 2 + 6 Combine like terms: -6 + 6 = 0 0 + -2w = 2 + 6 -2w = 2 + 6 Combine like terms: 2 + 6 = 8 -2w = 8 Divide each side by '-2'. w = -4 Simplifying w = -4
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