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Simplifying 2(w + -1) + -4 = 4(w + 1) Reorder the terms: 2(-1 + w) + -4 = 4(w + 1) (-1 * 2 + w * 2) + -4 = 4(w + 1) (-2 + 2w) + -4 = 4(w + 1) Reorder the terms: -2 + -4 + 2w = 4(w + 1) Combine like terms: -2 + -4 = -6 -6 + 2w = 4(w + 1) Reorder the terms: -6 + 2w = 4(1 + w) -6 + 2w = (1 * 4 + w * 4) -6 + 2w = (4 + 4w) Solving -6 + 2w = 4 + 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 = 4 + 4w + -4w Combine like terms: 2w + -4w = -2w -6 + -2w = 4 + 4w + -4w Combine like terms: 4w + -4w = 0 -6 + -2w = 4 + 0 -6 + -2w = 4 Add '6' to each side of the equation. -6 + 6 + -2w = 4 + 6 Combine like terms: -6 + 6 = 0 0 + -2w = 4 + 6 -2w = 4 + 6 Combine like terms: 4 + 6 = 10 -2w = 10 Divide each side by '-2'. w = -5 Simplifying w = -5
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