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Simplifying 116w + -245 + 2w = 19 + -7w + -14 Reorder the terms: -245 + 116w + 2w = 19 + -7w + -14 Combine like terms: 116w + 2w = 118w -245 + 118w = 19 + -7w + -14 Reorder the terms: -245 + 118w = 19 + -14 + -7w Combine like terms: 19 + -14 = 5 -245 + 118w = 5 + -7w Solving -245 + 118w = 5 + -7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '7w' to each side of the equation. -245 + 118w + 7w = 5 + -7w + 7w Combine like terms: 118w + 7w = 125w -245 + 125w = 5 + -7w + 7w Combine like terms: -7w + 7w = 0 -245 + 125w = 5 + 0 -245 + 125w = 5 Add '245' to each side of the equation. -245 + 245 + 125w = 5 + 245 Combine like terms: -245 + 245 = 0 0 + 125w = 5 + 245 125w = 5 + 245 Combine like terms: 5 + 245 = 250 125w = 250 Divide each side by '125'. w = 2 Simplifying w = 2
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