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Simplifying -15 = 5(w + -7) Reorder the terms: -15 = 5(-7 + w) -15 = (-7 * 5 + w * 5) -15 = (-35 + 5w) Solving -15 = -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. -15 + -5w = -35 + 5w + -5w Combine like terms: 5w + -5w = 0 -15 + -5w = -35 + 0 -15 + -5w = -35 Add '15' to each side of the equation. -15 + 15 + -5w = -35 + 15 Combine like terms: -15 + 15 = 0 0 + -5w = -35 + 15 -5w = -35 + 15 Combine like terms: -35 + 15 = -20 -5w = -20 Divide each side by '-5'. w = 4 Simplifying w = 4
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