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Simplifying 7 = 3(w + 5) + -7w Reorder the terms: 7 = 3(5 + w) + -7w 7 = (5 * 3 + w * 3) + -7w 7 = (15 + 3w) + -7w Combine like terms: 3w + -7w = -4w 7 = 15 + -4w Solving 7 = 15 + -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 = 15 + -4w + 4w Combine like terms: -4w + 4w = 0 7 + 4w = 15 + 0 7 + 4w = 15 Add '-7' to each side of the equation. 7 + -7 + 4w = 15 + -7 Combine like terms: 7 + -7 = 0 0 + 4w = 15 + -7 4w = 15 + -7 Combine like terms: 15 + -7 = 8 4w = 8 Divide each side by '4'. w = 2 Simplifying w = 2
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