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Simplifying 4(w + -1) = 2w + -22 Reorder the terms: 4(-1 + w) = 2w + -22 (-1 * 4 + w * 4) = 2w + -22 (-4 + 4w) = 2w + -22 Reorder the terms: -4 + 4w = -22 + 2w Solving -4 + 4w = -22 + 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. -4 + 4w + -2w = -22 + 2w + -2w Combine like terms: 4w + -2w = 2w -4 + 2w = -22 + 2w + -2w Combine like terms: 2w + -2w = 0 -4 + 2w = -22 + 0 -4 + 2w = -22 Add '4' to each side of the equation. -4 + 4 + 2w = -22 + 4 Combine like terms: -4 + 4 = 0 0 + 2w = -22 + 4 2w = -22 + 4 Combine like terms: -22 + 4 = -18 2w = -18 Divide each side by '2'. w = -9 Simplifying w = -9
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