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Simplifying -2(w + -10) + 3 = 7 Reorder the terms: -2(-10 + w) + 3 = 7 (-10 * -2 + w * -2) + 3 = 7 (20 + -2w) + 3 = 7 Reorder the terms: 20 + 3 + -2w = 7 Combine like terms: 20 + 3 = 23 23 + -2w = 7 Solving 23 + -2w = 7 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + -2w = 7 + -23 Combine like terms: 23 + -23 = 0 0 + -2w = 7 + -23 -2w = 7 + -23 Combine like terms: 7 + -23 = -16 -2w = -16 Divide each side by '-2'. w = 8 Simplifying w = 8
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