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Simplifying 4(3w + -1) + -3w + 7 = 2w + 17 Reorder the terms: 4(-1 + 3w) + -3w + 7 = 2w + 17 (-1 * 4 + 3w * 4) + -3w + 7 = 2w + 17 (-4 + 12w) + -3w + 7 = 2w + 17 Reorder the terms: -4 + 7 + 12w + -3w = 2w + 17 Combine like terms: -4 + 7 = 3 3 + 12w + -3w = 2w + 17 Combine like terms: 12w + -3w = 9w 3 + 9w = 2w + 17 Reorder the terms: 3 + 9w = 17 + 2w Solving 3 + 9w = 17 + 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. 3 + 9w + -2w = 17 + 2w + -2w Combine like terms: 9w + -2w = 7w 3 + 7w = 17 + 2w + -2w Combine like terms: 2w + -2w = 0 3 + 7w = 17 + 0 3 + 7w = 17 Add '-3' to each side of the equation. 3 + -3 + 7w = 17 + -3 Combine like terms: 3 + -3 = 0 0 + 7w = 17 + -3 7w = 17 + -3 Combine like terms: 17 + -3 = 14 7w = 14 Divide each side by '7'. w = 2 Simplifying w = 2
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