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Simplifying 2(w + 35) = 122 + -2w Reorder the terms: 2(35 + w) = 122 + -2w (35 * 2 + w * 2) = 122 + -2w (70 + 2w) = 122 + -2w Solving 70 + 2w = 122 + -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. 70 + 2w + 2w = 122 + -2w + 2w Combine like terms: 2w + 2w = 4w 70 + 4w = 122 + -2w + 2w Combine like terms: -2w + 2w = 0 70 + 4w = 122 + 0 70 + 4w = 122 Add '-70' to each side of the equation. 70 + -70 + 4w = 122 + -70 Combine like terms: 70 + -70 = 0 0 + 4w = 122 + -70 4w = 122 + -70 Combine like terms: 122 + -70 = 52 4w = 52 Divide each side by '4'. w = 13 Simplifying w = 13
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