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Simplifying 5w + -7 = 2(w + 2) Reorder the terms: -7 + 5w = 2(w + 2) Reorder the terms: -7 + 5w = 2(2 + w) -7 + 5w = (2 * 2 + w * 2) -7 + 5w = (4 + 2w) Solving -7 + 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. -7 + 5w + -2w = 4 + 2w + -2w Combine like terms: 5w + -2w = 3w -7 + 3w = 4 + 2w + -2w Combine like terms: 2w + -2w = 0 -7 + 3w = 4 + 0 -7 + 3w = 4 Add '7' to each side of the equation. -7 + 7 + 3w = 4 + 7 Combine like terms: -7 + 7 = 0 0 + 3w = 4 + 7 3w = 4 + 7 Combine like terms: 4 + 7 = 11 3w = 11 Divide each side by '3'. w = 3.666666667 Simplifying w = 3.666666667
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