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Simplifying 7 = (-5) + w 7 = -5 + w Solving 7 = -5 + w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. 7 + -1w = -5 + w + -1w Combine like terms: w + -1w = 0 7 + -1w = -5 + 0 7 + -1w = -5 Add '-7' to each side of the equation. 7 + -7 + -1w = -5 + -7 Combine like terms: 7 + -7 = 0 0 + -1w = -5 + -7 -1w = -5 + -7 Combine like terms: -5 + -7 = -12 -1w = -12 Divide each side by '-1'. w = 12 Simplifying w = 12
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