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Simplifying -5 + 2(w + -8) = -7 Reorder the terms: -5 + 2(-8 + w) = -7 -5 + (-8 * 2 + w * 2) = -7 -5 + (-16 + 2w) = -7 Combine like terms: -5 + -16 = -21 -21 + 2w = -7 Solving -21 + 2w = -7 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 2w = -7 + 21 Combine like terms: -21 + 21 = 0 0 + 2w = -7 + 21 2w = -7 + 21 Combine like terms: -7 + 21 = 14 2w = 14 Divide each side by '2'. w = 7 Simplifying w = 7
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