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Simplifying -15 = -3w + 5(w + -7) Reorder the terms: -15 = -3w + 5(-7 + w) -15 = -3w + (-7 * 5 + w * 5) -15 = -3w + (-35 + 5w) Reorder the terms: -15 = -35 + -3w + 5w Combine like terms: -3w + 5w = 2w -15 = -35 + 2w Solving -15 = -35 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. -15 + -2w = -35 + 2w + -2w Combine like terms: 2w + -2w = 0 -15 + -2w = -35 + 0 -15 + -2w = -35 Add '15' to each side of the equation. -15 + 15 + -2w = -35 + 15 Combine like terms: -15 + 15 = 0 0 + -2w = -35 + 15 -2w = -35 + 15 Combine like terms: -35 + 15 = -20 -2w = -20 Divide each side by '-2'. w = 10 Simplifying w = 10
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