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Simplifying 3(3w + -1) + 15 = 7w + 2 Reorder the terms: 3(-1 + 3w) + 15 = 7w + 2 (-1 * 3 + 3w * 3) + 15 = 7w + 2 (-3 + 9w) + 15 = 7w + 2 Reorder the terms: -3 + 15 + 9w = 7w + 2 Combine like terms: -3 + 15 = 12 12 + 9w = 7w + 2 Reorder the terms: 12 + 9w = 2 + 7w Solving 12 + 9w = 2 + 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. 12 + 9w + -7w = 2 + 7w + -7w Combine like terms: 9w + -7w = 2w 12 + 2w = 2 + 7w + -7w Combine like terms: 7w + -7w = 0 12 + 2w = 2 + 0 12 + 2w = 2 Add '-12' to each side of the equation. 12 + -12 + 2w = 2 + -12 Combine like terms: 12 + -12 = 0 0 + 2w = 2 + -12 2w = 2 + -12 Combine like terms: 2 + -12 = -10 2w = -10 Divide each side by '2'. w = -5 Simplifying w = -5
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