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Simplifying -16 = -7w + 5(w + -2) Reorder the terms: -16 = -7w + 5(-2 + w) -16 = -7w + (-2 * 5 + w * 5) -16 = -7w + (-10 + 5w) Reorder the terms: -16 = -10 + -7w + 5w Combine like terms: -7w + 5w = -2w -16 = -10 + -2w Solving -16 = -10 + -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. -16 + 2w = -10 + -2w + 2w Combine like terms: -2w + 2w = 0 -16 + 2w = -10 + 0 -16 + 2w = -10 Add '16' to each side of the equation. -16 + 16 + 2w = -10 + 16 Combine like terms: -16 + 16 = 0 0 + 2w = -10 + 16 2w = -10 + 16 Combine like terms: -10 + 16 = 6 2w = 6 Divide each side by '2'. w = 3 Simplifying w = 3
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