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Simplifying 102 = 21w + 27 + 8w + 3 Reorder the terms: 102 = 27 + 3 + 21w + 8w Combine like terms: 27 + 3 = 30 102 = 30 + 21w + 8w Combine like terms: 21w + 8w = 29w 102 = 30 + 29w Solving 102 = 30 + 29w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-29w' to each side of the equation. 102 + -29w = 30 + 29w + -29w Combine like terms: 29w + -29w = 0 102 + -29w = 30 + 0 102 + -29w = 30 Add '-102' to each side of the equation. 102 + -102 + -29w = 30 + -102 Combine like terms: 102 + -102 = 0 0 + -29w = 30 + -102 -29w = 30 + -102 Combine like terms: 30 + -102 = -72 -29w = -72 Divide each side by '-29'. w = 2.482758621 Simplifying w = 2.482758621
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