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Simplifying 4w + 3[w + -9] = 29 Reorder the terms: 4w + 3[-9 + w] = 29 4w + [-9 * 3 + w * 3] = 29 4w + [-27 + 3w] = 29 Reorder the terms: -27 + 4w + 3w = 29 Combine like terms: 4w + 3w = 7w -27 + 7w = 29 Solving -27 + 7w = 29 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + 7w = 29 + 27 Combine like terms: -27 + 27 = 0 0 + 7w = 29 + 27 7w = 29 + 27 Combine like terms: 29 + 27 = 56 7w = 56 Divide each side by '7'. w = 8 Simplifying w = 8
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