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Simplifying 7 = (w + -5) + -7w Reorder the terms: 7 = (-5 + w) + -7w Remove parenthesis around (-5 + w) 7 = -5 + w + -7w Combine like terms: w + -7w = -6w 7 = -5 + -6w Solving 7 = -5 + -6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6w' to each side of the equation. 7 + 6w = -5 + -6w + 6w Combine like terms: -6w + 6w = 0 7 + 6w = -5 + 0 7 + 6w = -5 Add '-7' to each side of the equation. 7 + -7 + 6w = -5 + -7 Combine like terms: 7 + -7 = 0 0 + 6w = -5 + -7 6w = -5 + -7 Combine like terms: -5 + -7 = -12 6w = -12 Divide each side by '6'. w = -2 Simplifying w = -2
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