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Simplifying 5w + -4 = 2(w + 7) Reorder the terms: -4 + 5w = 2(w + 7) Reorder the terms: -4 + 5w = 2(7 + w) -4 + 5w = (7 * 2 + w * 2) -4 + 5w = (14 + 2w) Solving -4 + 5w = 14 + 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. -4 + 5w + -2w = 14 + 2w + -2w Combine like terms: 5w + -2w = 3w -4 + 3w = 14 + 2w + -2w Combine like terms: 2w + -2w = 0 -4 + 3w = 14 + 0 -4 + 3w = 14 Add '4' to each side of the equation. -4 + 4 + 3w = 14 + 4 Combine like terms: -4 + 4 = 0 0 + 3w = 14 + 4 3w = 14 + 4 Combine like terms: 14 + 4 = 18 3w = 18 Divide each side by '3'. w = 6 Simplifying w = 6
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