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Simplifying 2(w + 4) + 6w + 10 = 3(3w + 2) + 10 Reorder the terms: 2(4 + w) + 6w + 10 = 3(3w + 2) + 10 (4 * 2 + w * 2) + 6w + 10 = 3(3w + 2) + 10 (8 + 2w) + 6w + 10 = 3(3w + 2) + 10 Reorder the terms: 8 + 10 + 2w + 6w = 3(3w + 2) + 10 Combine like terms: 8 + 10 = 18 18 + 2w + 6w = 3(3w + 2) + 10 Combine like terms: 2w + 6w = 8w 18 + 8w = 3(3w + 2) + 10 Reorder the terms: 18 + 8w = 3(2 + 3w) + 10 18 + 8w = (2 * 3 + 3w * 3) + 10 18 + 8w = (6 + 9w) + 10 Reorder the terms: 18 + 8w = 6 + 10 + 9w Combine like terms: 6 + 10 = 16 18 + 8w = 16 + 9w Solving 18 + 8w = 16 + 9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9w' to each side of the equation. 18 + 8w + -9w = 16 + 9w + -9w Combine like terms: 8w + -9w = -1w 18 + -1w = 16 + 9w + -9w Combine like terms: 9w + -9w = 0 18 + -1w = 16 + 0 18 + -1w = 16 Add '-18' to each side of the equation. 18 + -18 + -1w = 16 + -18 Combine like terms: 18 + -18 = 0 0 + -1w = 16 + -18 -1w = 16 + -18 Combine like terms: 16 + -18 = -2 -1w = -2 Divide each side by '-1'. w = 2 Simplifying w = 2
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