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Simplifying 2w + -4(w + 2) = 5(w + 4) Reorder the terms: 2w + -4(2 + w) = 5(w + 4) 2w + (2 * -4 + w * -4) = 5(w + 4) 2w + (-8 + -4w) = 5(w + 4) Reorder the terms: -8 + 2w + -4w = 5(w + 4) Combine like terms: 2w + -4w = -2w -8 + -2w = 5(w + 4) Reorder the terms: -8 + -2w = 5(4 + w) -8 + -2w = (4 * 5 + w * 5) -8 + -2w = (20 + 5w) Solving -8 + -2w = 20 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. -8 + -2w + -5w = 20 + 5w + -5w Combine like terms: -2w + -5w = -7w -8 + -7w = 20 + 5w + -5w Combine like terms: 5w + -5w = 0 -8 + -7w = 20 + 0 -8 + -7w = 20 Add '8' to each side of the equation. -8 + 8 + -7w = 20 + 8 Combine like terms: -8 + 8 = 0 0 + -7w = 20 + 8 -7w = 20 + 8 Combine like terms: 20 + 8 = 28 -7w = 28 Divide each side by '-7'. w = -4 Simplifying w = -4
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