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Simplifying 2(w + -1) + 4 = 4(w + 10) Reorder the terms: 2(-1 + w) + 4 = 4(w + 10) (-1 * 2 + w * 2) + 4 = 4(w + 10) (-2 + 2w) + 4 = 4(w + 10) Reorder the terms: -2 + 4 + 2w = 4(w + 10) Combine like terms: -2 + 4 = 2 2 + 2w = 4(w + 10) Reorder the terms: 2 + 2w = 4(10 + w) 2 + 2w = (10 * 4 + w * 4) 2 + 2w = (40 + 4w) Solving 2 + 2w = 40 + 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. 2 + 2w + -4w = 40 + 4w + -4w Combine like terms: 2w + -4w = -2w 2 + -2w = 40 + 4w + -4w Combine like terms: 4w + -4w = 0 2 + -2w = 40 + 0 2 + -2w = 40 Add '-2' to each side of the equation. 2 + -2 + -2w = 40 + -2 Combine like terms: 2 + -2 = 0 0 + -2w = 40 + -2 -2w = 40 + -2 Combine like terms: 40 + -2 = 38 -2w = 38 Divide each side by '-2'. w = -19 Simplifying w = -19
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