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Simplifying -2(w + -5) + 4w + 3 = 0 Reorder the terms: -2(-5 + w) + 4w + 3 = 0 (-5 * -2 + w * -2) + 4w + 3 = 0 (10 + -2w) + 4w + 3 = 0 Reorder the terms: 10 + 3 + -2w + 4w = 0 Combine like terms: 10 + 3 = 13 13 + -2w + 4w = 0 Combine like terms: -2w + 4w = 2w 13 + 2w = 0 Solving 13 + 2w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 2w = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 2w = 0 + -13 2w = 0 + -13 Combine like terms: 0 + -13 = -13 2w = -13 Divide each side by '2'. w = -6.5 Simplifying w = -6.5
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