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Simplifying 5w + 22 = 2(w + -4) Reorder the terms: 22 + 5w = 2(w + -4) Reorder the terms: 22 + 5w = 2(-4 + w) 22 + 5w = (-4 * 2 + w * 2) 22 + 5w = (-8 + 2w) Solving 22 + 5w = -8 + 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 = -8 + 2w + -2w Combine like terms: 5w + -2w = 3w 22 + 3w = -8 + 2w + -2w Combine like terms: 2w + -2w = 0 22 + 3w = -8 + 0 22 + 3w = -8 Add '-22' to each side of the equation. 22 + -22 + 3w = -8 + -22 Combine like terms: 22 + -22 = 0 0 + 3w = -8 + -22 3w = -8 + -22 Combine like terms: -8 + -22 = -30 3w = -30 Divide each side by '3'. w = -10 Simplifying w = -10
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