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Simplifying -5 + 2w = -3w + -7 Reorder the terms: -5 + 2w = -7 + -3w Solving -5 + 2w = -7 + -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. -5 + 2w + 3w = -7 + -3w + 3w Combine like terms: 2w + 3w = 5w -5 + 5w = -7 + -3w + 3w Combine like terms: -3w + 3w = 0 -5 + 5w = -7 + 0 -5 + 5w = -7 Add '5' to each side of the equation. -5 + 5 + 5w = -7 + 5 Combine like terms: -5 + 5 = 0 0 + 5w = -7 + 5 5w = -7 + 5 Combine like terms: -7 + 5 = -2 5w = -2 Divide each side by '5'. w = -0.4 Simplifying w = -0.4
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