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Simplifying -4(w + 5) = -2w + -22 Reorder the terms: -4(5 + w) = -2w + -22 (5 * -4 + w * -4) = -2w + -22 (-20 + -4w) = -2w + -22 Reorder the terms: -20 + -4w = -22 + -2w Solving -20 + -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. -20 + -4w + 2w = -22 + -2w + 2w Combine like terms: -4w + 2w = -2w -20 + -2w = -22 + -2w + 2w Combine like terms: -2w + 2w = 0 -20 + -2w = -22 + 0 -20 + -2w = -22 Add '20' to each side of the equation. -20 + 20 + -2w = -22 + 20 Combine like terms: -20 + 20 = 0 0 + -2w = -22 + 20 -2w = -22 + 20 Combine like terms: -22 + 20 = -2 -2w = -2 Divide each side by '-2'. w = 1 Simplifying w = 1
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