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Simplifying 2w + 4 + -2(-6w + -2) = 6(w + -1) Reorder the terms: 2w + 4 + -2(-2 + -6w) = 6(w + -1) 2w + 4 + (-2 * -2 + -6w * -2) = 6(w + -1) 2w + 4 + (4 + 12w) = 6(w + -1) Reorder the terms: 4 + 4 + 2w + 12w = 6(w + -1) Combine like terms: 4 + 4 = 8 8 + 2w + 12w = 6(w + -1) Combine like terms: 2w + 12w = 14w 8 + 14w = 6(w + -1) Reorder the terms: 8 + 14w = 6(-1 + w) 8 + 14w = (-1 * 6 + w * 6) 8 + 14w = (-6 + 6w) Solving 8 + 14w = -6 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. 8 + 14w + -6w = -6 + 6w + -6w Combine like terms: 14w + -6w = 8w 8 + 8w = -6 + 6w + -6w Combine like terms: 6w + -6w = 0 8 + 8w = -6 + 0 8 + 8w = -6 Add '-8' to each side of the equation. 8 + -8 + 8w = -6 + -8 Combine like terms: 8 + -8 = 0 0 + 8w = -6 + -8 8w = -6 + -8 Combine like terms: -6 + -8 = -14 8w = -14 Divide each side by '8'. w = -1.75 Simplifying w = -1.75
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