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Simplifying 102 = 2(7w) + 2(3w) Remove parenthesis around (7w) 102 = 2 * 7w + 2(3w) Multiply 2 * 7 102 = 14w + 2(3w) Remove parenthesis around (3w) 102 = 14w + 2 * 3w Multiply 2 * 3 102 = 14w + 6w Combine like terms: 14w + 6w = 20w 102 = 20w Solving 102 = 20w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-20w' to each side of the equation. 102 + -20w = 20w + -20w Combine like terms: 20w + -20w = 0 102 + -20w = 0 Add '-102' to each side of the equation. 102 + -102 + -20w = 0 + -102 Combine like terms: 102 + -102 = 0 0 + -20w = 0 + -102 -20w = 0 + -102 Combine like terms: 0 + -102 = -102 -20w = -102 Divide each side by '-20'. w = 5.1 Simplifying w = 5.1
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