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Simplifying -6 = -6w + 4(w + 3) Reorder the terms: -6 = -6w + 4(3 + w) -6 = -6w + (3 * 4 + w * 4) -6 = -6w + (12 + 4w) Reorder the terms: -6 = 12 + -6w + 4w Combine like terms: -6w + 4w = -2w -6 = 12 + -2w Solving -6 = 12 + -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. -6 + 2w = 12 + -2w + 2w Combine like terms: -2w + 2w = 0 -6 + 2w = 12 + 0 -6 + 2w = 12 Add '6' to each side of the equation. -6 + 6 + 2w = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 2w = 12 + 6 2w = 12 + 6 Combine like terms: 12 + 6 = 18 2w = 18 Divide each side by '2'. w = 9 Simplifying w = 9
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