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Simplifying 2w + 98 = 7w + 1 Reorder the terms: 98 + 2w = 7w + 1 Reorder the terms: 98 + 2w = 1 + 7w Solving 98 + 2w = 1 + 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. 98 + 2w + -7w = 1 + 7w + -7w Combine like terms: 2w + -7w = -5w 98 + -5w = 1 + 7w + -7w Combine like terms: 7w + -7w = 0 98 + -5w = 1 + 0 98 + -5w = 1 Add '-98' to each side of the equation. 98 + -98 + -5w = 1 + -98 Combine like terms: 98 + -98 = 0 0 + -5w = 1 + -98 -5w = 1 + -98 Combine like terms: 1 + -98 = -97 -5w = -97 Divide each side by '-5'. w = 19.4 Simplifying w = 19.4
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