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Simplifying 3(2w + 9) = 7(5 + w) Reorder the terms: 3(9 + 2w) = 7(5 + w) (9 * 3 + 2w * 3) = 7(5 + w) (27 + 6w) = 7(5 + w) 27 + 6w = (5 * 7 + w * 7) 27 + 6w = (35 + 7w) Solving 27 + 6w = 35 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. 27 + 6w + -7w = 35 + 7w + -7w Combine like terms: 6w + -7w = -1w 27 + -1w = 35 + 7w + -7w Combine like terms: 7w + -7w = 0 27 + -1w = 35 + 0 27 + -1w = 35 Add '-27' to each side of the equation. 27 + -27 + -1w = 35 + -27 Combine like terms: 27 + -27 = 0 0 + -1w = 35 + -27 -1w = 35 + -27 Combine like terms: 35 + -27 = 8 -1w = 8 Divide each side by '-1'. w = -8 Simplifying w = -8
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