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Simplifying (w + -3) + (w + -3) + 4 + (2w + -3) + 8 = 35 Reorder the terms: (-3 + w) + (w + -3) + 4 + (2w + -3) + 8 = 35 Remove parenthesis around (-3 + w) -3 + w + (w + -3) + 4 + (2w + -3) + 8 = 35 Reorder the terms: -3 + w + (-3 + w) + 4 + (2w + -3) + 8 = 35 Remove parenthesis around (-3 + w) -3 + w + -3 + w + 4 + (2w + -3) + 8 = 35 Reorder the terms: -3 + w + -3 + w + 4 + (-3 + 2w) + 8 = 35 Remove parenthesis around (-3 + 2w) -3 + w + -3 + w + 4 + -3 + 2w + 8 = 35 Reorder the terms: -3 + -3 + 4 + -3 + 8 + w + w + 2w = 35 Combine like terms: -3 + -3 = -6 -6 + 4 + -3 + 8 + w + w + 2w = 35 Combine like terms: -6 + 4 = -2 -2 + -3 + 8 + w + w + 2w = 35 Combine like terms: -2 + -3 = -5 -5 + 8 + w + w + 2w = 35 Combine like terms: -5 + 8 = 3 3 + w + w + 2w = 35 Combine like terms: w + w = 2w 3 + 2w + 2w = 35 Combine like terms: 2w + 2w = 4w 3 + 4w = 35 Solving 3 + 4w = 35 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 4w = 35 + -3 Combine like terms: 3 + -3 = 0 0 + 4w = 35 + -3 4w = 35 + -3 Combine like terms: 35 + -3 = 32 4w = 32 Divide each side by '4'. w = 8 Simplifying w = 8
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