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