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Simplifying 172 = 2(51) + 2(w) Multiply 2 * 51 172 = 102 + 2(w) Solving 172 = 102 + 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. 172 + -2w = 102 + 2w + -2w Combine like terms: 2w + -2w = 0 172 + -2w = 102 + 0 172 + -2w = 102 Add '-172' to each side of the equation. 172 + -172 + -2w = 102 + -172 Combine like terms: 172 + -172 = 0 0 + -2w = 102 + -172 -2w = 102 + -172 Combine like terms: 102 + -172 = -70 -2w = -70 Divide each side by '-2'. w = 35 Simplifying w = 35
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