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Simplifying -4(w + -7) + 6w + 3 = 0 Reorder the terms: -4(-7 + w) + 6w + 3 = 0 (-7 * -4 + w * -4) + 6w + 3 = 0 (28 + -4w) + 6w + 3 = 0 Reorder the terms: 28 + 3 + -4w + 6w = 0 Combine like terms: 28 + 3 = 31 31 + -4w + 6w = 0 Combine like terms: -4w + 6w = 2w 31 + 2w = 0 Solving 31 + 2w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-31' to each side of the equation. 31 + -31 + 2w = 0 + -31 Combine like terms: 31 + -31 = 0 0 + 2w = 0 + -31 2w = 0 + -31 Combine like terms: 0 + -31 = -31 2w = -31 Divide each side by '2'. w = -15.5 Simplifying w = -15.5
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