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Simplifying 7(w + 9) = 69 + 4w Reorder the terms: 7(9 + w) = 69 + 4w (9 * 7 + w * 7) = 69 + 4w (63 + 7w) = 69 + 4w Solving 63 + 7w = 69 + 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. 63 + 7w + -4w = 69 + 4w + -4w Combine like terms: 7w + -4w = 3w 63 + 3w = 69 + 4w + -4w Combine like terms: 4w + -4w = 0 63 + 3w = 69 + 0 63 + 3w = 69 Add '-63' to each side of the equation. 63 + -63 + 3w = 69 + -63 Combine like terms: 63 + -63 = 0 0 + 3w = 69 + -63 3w = 69 + -63 Combine like terms: 69 + -63 = 6 3w = 6 Divide each side by '3'. w = 2 Simplifying w = 2
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