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Simplifying -3w + 2 = 7 + -5 + 3w Reorder the terms: 2 + -3w = 7 + -5 + 3w Combine like terms: 7 + -5 = 2 2 + -3w = 2 + 3w Add '-2' to each side of the equation. 2 + -2 + -3w = 2 + -2 + 3w Combine like terms: 2 + -2 = 0 0 + -3w = 2 + -2 + 3w -3w = 2 + -2 + 3w Combine like terms: 2 + -2 = 0 -3w = 0 + 3w -3w = 3w Solving -3w = 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. -3w + -3w = 3w + -3w Combine like terms: -3w + -3w = -6w -6w = 3w + -3w Combine like terms: 3w + -3w = 0 -6w = 0 Divide each side by '-6'. w = 0 Simplifying w = 0
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