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Simplifying 7(w + 9) = 78 + 2w Reorder the terms: 7(9 + w) = 78 + 2w (9 * 7 + w * 7) = 78 + 2w (63 + 7w) = 78 + 2w Solving 63 + 7w = 78 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 63 + 7w + -2w = 78 + 2w + -2w Combine like terms: 7w + -2w = 5w 63 + 5w = 78 + 2w + -2w Combine like terms: 2w + -2w = 0 63 + 5w = 78 + 0 63 + 5w = 78 Add '-63' to each side of the equation. 63 + -63 + 5w = 78 + -63 Combine like terms: 63 + -63 = 0 0 + 5w = 78 + -63 5w = 78 + -63 Combine like terms: 78 + -63 = 15 5w = 15 Divide each side by '5'. w = 3 Simplifying w = 3
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