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Simplifying w + -7 + 3w = 2(7 + -2w) Reorder the terms: -7 + w + 3w = 2(7 + -2w) Combine like terms: w + 3w = 4w -7 + 4w = 2(7 + -2w) -7 + 4w = (7 * 2 + -2w * 2) -7 + 4w = (14 + -4w) Solving -7 + 4w = 14 + -4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4w' to each side of the equation. -7 + 4w + 4w = 14 + -4w + 4w Combine like terms: 4w + 4w = 8w -7 + 8w = 14 + -4w + 4w Combine like terms: -4w + 4w = 0 -7 + 8w = 14 + 0 -7 + 8w = 14 Add '7' to each side of the equation. -7 + 7 + 8w = 14 + 7 Combine like terms: -7 + 7 = 0 0 + 8w = 14 + 7 8w = 14 + 7 Combine like terms: 14 + 7 = 21 8w = 21 Divide each side by '8'. w = 2.625 Simplifying w = 2.625
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