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Simplifying -5w + 22 = -2(w + -2) Reorder the terms: 22 + -5w = -2(w + -2) Reorder the terms: 22 + -5w = -2(-2 + w) 22 + -5w = (-2 * -2 + w * -2) 22 + -5w = (4 + -2w) Solving 22 + -5w = 4 + -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. 22 + -5w + 2w = 4 + -2w + 2w Combine like terms: -5w + 2w = -3w 22 + -3w = 4 + -2w + 2w Combine like terms: -2w + 2w = 0 22 + -3w = 4 + 0 22 + -3w = 4 Add '-22' to each side of the equation. 22 + -22 + -3w = 4 + -22 Combine like terms: 22 + -22 = 0 0 + -3w = 4 + -22 -3w = 4 + -22 Combine like terms: 4 + -22 = -18 -3w = -18 Divide each side by '-3'. w = 6 Simplifying w = 6
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