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Simplifying 2w + 45 = 7w Reorder the terms: 45 + 2w = 7w Solving 45 + 2w = 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. 45 + 2w + -7w = 7w + -7w Combine like terms: 2w + -7w = -5w 45 + -5w = 7w + -7w Combine like terms: 7w + -7w = 0 45 + -5w = 0 Add '-45' to each side of the equation. 45 + -45 + -5w = 0 + -45 Combine like terms: 45 + -45 = 0 0 + -5w = 0 + -45 -5w = 0 + -45 Combine like terms: 0 + -45 = -45 -5w = -45 Divide each side by '-5'. w = 9 Simplifying w = 9
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