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Simplifying -30 = 7(w + -5) + -2w Reorder the terms: -30 = 7(-5 + w) + -2w -30 = (-5 * 7 + w * 7) + -2w -30 = (-35 + 7w) + -2w Combine like terms: 7w + -2w = 5w -30 = -35 + 5w Solving -30 = -35 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. -30 + -5w = -35 + 5w + -5w Combine like terms: 5w + -5w = 0 -30 + -5w = -35 + 0 -30 + -5w = -35 Add '30' to each side of the equation. -30 + 30 + -5w = -35 + 30 Combine like terms: -30 + 30 = 0 0 + -5w = -35 + 30 -5w = -35 + 30 Combine like terms: -35 + 30 = -5 -5w = -5 Divide each side by '-5'. w = 1 Simplifying w = 1
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