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Simplifying 180 = 65 + (w + 21) + (w + 28) Reorder the terms: 180 = 65 + (21 + w) + (w + 28) Remove parenthesis around (21 + w) 180 = 65 + 21 + w + (w + 28) Reorder the terms: 180 = 65 + 21 + w + (28 + w) Remove parenthesis around (28 + w) 180 = 65 + 21 + w + 28 + w Reorder the terms: 180 = 65 + 21 + 28 + w + w Combine like terms: 65 + 21 = 86 180 = 86 + 28 + w + w Combine like terms: 86 + 28 = 114 180 = 114 + w + w Combine like terms: w + w = 2w 180 = 114 + 2w Solving 180 = 114 + 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. 180 + -2w = 114 + 2w + -2w Combine like terms: 2w + -2w = 0 180 + -2w = 114 + 0 180 + -2w = 114 Add '-180' to each side of the equation. 180 + -180 + -2w = 114 + -180 Combine like terms: 180 + -180 = 0 0 + -2w = 114 + -180 -2w = 114 + -180 Combine like terms: 114 + -180 = -66 -2w = -66 Divide each side by '-2'. w = 33 Simplifying w = 33
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