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Simplifying 3w = 5(w + -7) + w Reorder the terms: 3w = 5(-7 + w) + w 3w = (-7 * 5 + w * 5) + w 3w = (-35 + 5w) + w Combine like terms: 5w + w = 6w 3w = -35 + 6w Solving 3w = -35 + 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. 3w + -6w = -35 + 6w + -6w Combine like terms: 3w + -6w = -3w -3w = -35 + 6w + -6w Combine like terms: 6w + -6w = 0 -3w = -35 + 0 -3w = -35 Divide each side by '-3'. w = 11.66666667 Simplifying w = 11.66666667
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