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Simplifying 7 = 2w + -5 Reorder the terms: 7 = -5 + 2w Solving 7 = -5 + 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. 7 + -2w = -5 + 2w + -2w Combine like terms: 2w + -2w = 0 7 + -2w = -5 + 0 7 + -2w = -5 Add '-7' to each side of the equation. 7 + -7 + -2w = -5 + -7 Combine like terms: 7 + -7 = 0 0 + -2w = -5 + -7 -2w = -5 + -7 Combine like terms: -5 + -7 = -12 -2w = -12 Divide each side by '-2'. w = 6 Simplifying w = 6
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