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Simplifying 5(w + -8) = 2(w + 4) Reorder the terms: 5(-8 + w) = 2(w + 4) (-8 * 5 + w * 5) = 2(w + 4) (-40 + 5w) = 2(w + 4) Reorder the terms: -40 + 5w = 2(4 + w) -40 + 5w = (4 * 2 + w * 2) -40 + 5w = (8 + 2w) Solving -40 + 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. -40 + 5w + -2w = 8 + 2w + -2w Combine like terms: 5w + -2w = 3w -40 + 3w = 8 + 2w + -2w Combine like terms: 2w + -2w = 0 -40 + 3w = 8 + 0 -40 + 3w = 8 Add '40' to each side of the equation. -40 + 40 + 3w = 8 + 40 Combine like terms: -40 + 40 = 0 0 + 3w = 8 + 40 3w = 8 + 40 Combine like terms: 8 + 40 = 48 3w = 48 Divide each side by '3'. w = 16 Simplifying w = 16
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