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Simplifying 49w + 42 = 2w + 136 Reorder the terms: 42 + 49w = 2w + 136 Reorder the terms: 42 + 49w = 136 + 2w Solving 42 + 49w = 136 + 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. 42 + 49w + -2w = 136 + 2w + -2w Combine like terms: 49w + -2w = 47w 42 + 47w = 136 + 2w + -2w Combine like terms: 2w + -2w = 0 42 + 47w = 136 + 0 42 + 47w = 136 Add '-42' to each side of the equation. 42 + -42 + 47w = 136 + -42 Combine like terms: 42 + -42 = 0 0 + 47w = 136 + -42 47w = 136 + -42 Combine like terms: 136 + -42 = 94 47w = 94 Divide each side by '47'. w = 2 Simplifying w = 2
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