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Simplifying -2(-9w + 1) + -2w = 2(w + -1) + -2 Reorder the terms: -2(1 + -9w) + -2w = 2(w + -1) + -2 (1 * -2 + -9w * -2) + -2w = 2(w + -1) + -2 (-2 + 18w) + -2w = 2(w + -1) + -2 Combine like terms: 18w + -2w = 16w -2 + 16w = 2(w + -1) + -2 Reorder the terms: -2 + 16w = 2(-1 + w) + -2 -2 + 16w = (-1 * 2 + w * 2) + -2 -2 + 16w = (-2 + 2w) + -2 Reorder the terms: -2 + 16w = -2 + -2 + 2w Combine like terms: -2 + -2 = -4 -2 + 16w = -4 + 2w Solving -2 + 16w = -4 + 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. -2 + 16w + -2w = -4 + 2w + -2w Combine like terms: 16w + -2w = 14w -2 + 14w = -4 + 2w + -2w Combine like terms: 2w + -2w = 0 -2 + 14w = -4 + 0 -2 + 14w = -4 Add '2' to each side of the equation. -2 + 2 + 14w = -4 + 2 Combine like terms: -2 + 2 = 0 0 + 14w = -4 + 2 14w = -4 + 2 Combine like terms: -4 + 2 = -2 14w = -2 Divide each side by '14'. w = -0.1428571429 Simplifying w = -0.1428571429
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