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Simplifying 4(w + 7) = 7 + 3w Reorder the terms: 4(7 + w) = 7 + 3w (7 * 4 + w * 4) = 7 + 3w (28 + 4w) = 7 + 3w Solving 28 + 4w = 7 + 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. 28 + 4w + -3w = 7 + 3w + -3w Combine like terms: 4w + -3w = 1w 28 + 1w = 7 + 3w + -3w Combine like terms: 3w + -3w = 0 28 + 1w = 7 + 0 28 + 1w = 7 Add '-28' to each side of the equation. 28 + -28 + 1w = 7 + -28 Combine like terms: 28 + -28 = 0 0 + 1w = 7 + -28 1w = 7 + -28 Combine like terms: 7 + -28 = -21 1w = -21 Divide each side by '1'. w = -21 Simplifying w = -21
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