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Simplifying 174 = 2(56) + 2(w) Multiply 2 * 56 174 = 112 + 2(w) Solving 174 = 112 + 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. 174 + -2w = 112 + 2w + -2w Combine like terms: 2w + -2w = 0 174 + -2w = 112 + 0 174 + -2w = 112 Add '-174' to each side of the equation. 174 + -174 + -2w = 112 + -174 Combine like terms: 174 + -174 = 0 0 + -2w = 112 + -174 -2w = 112 + -174 Combine like terms: 112 + -174 = -62 -2w = -62 Divide each side by '-2'. w = 31 Simplifying w = 31
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