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Simplifying 2w + 7 + -7(-2w + -1) = 4w + -1 Reorder the terms: 2w + 7 + -7(-1 + -2w) = 4w + -1 2w + 7 + (-1 * -7 + -2w * -7) = 4w + -1 2w + 7 + (7 + 14w) = 4w + -1 Reorder the terms: 7 + 7 + 2w + 14w = 4w + -1 Combine like terms: 7 + 7 = 14 14 + 2w + 14w = 4w + -1 Combine like terms: 2w + 14w = 16w 14 + 16w = 4w + -1 Reorder the terms: 14 + 16w = -1 + 4w Solving 14 + 16w = -1 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. 14 + 16w + -4w = -1 + 4w + -4w Combine like terms: 16w + -4w = 12w 14 + 12w = -1 + 4w + -4w Combine like terms: 4w + -4w = 0 14 + 12w = -1 + 0 14 + 12w = -1 Add '-14' to each side of the equation. 14 + -14 + 12w = -1 + -14 Combine like terms: 14 + -14 = 0 0 + 12w = -1 + -14 12w = -1 + -14 Combine like terms: -1 + -14 = -15 12w = -15 Divide each side by '12'. w = -1.25 Simplifying w = -1.25
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