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Simplifying 2w + -4 = 2(6 + -7w) Reorder the terms: -4 + 2w = 2(6 + -7w) -4 + 2w = (6 * 2 + -7w * 2) -4 + 2w = (12 + -14w) Solving -4 + 2w = 12 + -14w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '14w' to each side of the equation. -4 + 2w + 14w = 12 + -14w + 14w Combine like terms: 2w + 14w = 16w -4 + 16w = 12 + -14w + 14w Combine like terms: -14w + 14w = 0 -4 + 16w = 12 + 0 -4 + 16w = 12 Add '4' to each side of the equation. -4 + 4 + 16w = 12 + 4 Combine like terms: -4 + 4 = 0 0 + 16w = 12 + 4 16w = 12 + 4 Combine like terms: 12 + 4 = 16 16w = 16 Divide each side by '16'. w = 1 Simplifying w = 1
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