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Simplifying -3w + 45 = 2w Reorder the terms: 45 + -3w = 2w Solving 45 + -3w = 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. 45 + -3w + -2w = 2w + -2w Combine like terms: -3w + -2w = -5w 45 + -5w = 2w + -2w Combine like terms: 2w + -2w = 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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