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Simplifying 7 = 4(w + 7) + -7w Reorder the terms: 7 = 4(7 + w) + -7w 7 = (7 * 4 + w * 4) + -7w 7 = (28 + 4w) + -7w Combine like terms: 4w + -7w = -3w 7 = 28 + -3w Solving 7 = 28 + -3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3w' to each side of the equation. 7 + 3w = 28 + -3w + 3w Combine like terms: -3w + 3w = 0 7 + 3w = 28 + 0 7 + 3w = 28 Add '-7' to each side of the equation. 7 + -7 + 3w = 28 + -7 Combine like terms: 7 + -7 = 0 0 + 3w = 28 + -7 3w = 28 + -7 Combine like terms: 28 + -7 = 21 3w = 21 Divide each side by '3'. w = 7 Simplifying w = 7
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