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Simplifying -10 = -7w + 5(w + -6) Reorder the terms: -10 = -7w + 5(-6 + w) -10 = -7w + (-6 * 5 + w * 5) -10 = -7w + (-30 + 5w) Reorder the terms: -10 = -30 + -7w + 5w Combine like terms: -7w + 5w = -2w -10 = -30 + -2w Solving -10 = -30 + -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. -10 + 2w = -30 + -2w + 2w Combine like terms: -2w + 2w = 0 -10 + 2w = -30 + 0 -10 + 2w = -30 Add '10' to each side of the equation. -10 + 10 + 2w = -30 + 10 Combine like terms: -10 + 10 = 0 0 + 2w = -30 + 10 2w = -30 + 10 Combine like terms: -30 + 10 = -20 2w = -20 Divide each side by '2'. w = -10 Simplifying w = -10
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