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Simplifying 3(w + -2) + w = 1 + -2(3 + -1w) Reorder the terms: 3(-2 + w) + w = 1 + -2(3 + -1w) (-2 * 3 + w * 3) + w = 1 + -2(3 + -1w) (-6 + 3w) + w = 1 + -2(3 + -1w) Combine like terms: 3w + w = 4w -6 + 4w = 1 + -2(3 + -1w) -6 + 4w = 1 + (3 * -2 + -1w * -2) -6 + 4w = 1 + (-6 + 2w) Combine like terms: 1 + -6 = -5 -6 + 4w = -5 + 2w Solving -6 + 4w = -5 + 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. -6 + 4w + -2w = -5 + 2w + -2w Combine like terms: 4w + -2w = 2w -6 + 2w = -5 + 2w + -2w Combine like terms: 2w + -2w = 0 -6 + 2w = -5 + 0 -6 + 2w = -5 Add '6' to each side of the equation. -6 + 6 + 2w = -5 + 6 Combine like terms: -6 + 6 = 0 0 + 2w = -5 + 6 2w = -5 + 6 Combine like terms: -5 + 6 = 1 2w = 1 Divide each side by '2'. w = 0.5 Simplifying w = 0.5
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