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Simplifying 14w + -2(1 + -1w) = 2(5w + -1) 14w + (1 * -2 + -1w * -2) = 2(5w + -1) 14w + (-2 + 2w) = 2(5w + -1) Reorder the terms: -2 + 14w + 2w = 2(5w + -1) Combine like terms: 14w + 2w = 16w -2 + 16w = 2(5w + -1) Reorder the terms: -2 + 16w = 2(-1 + 5w) -2 + 16w = (-1 * 2 + 5w * 2) -2 + 16w = (-2 + 10w) Add '2' to each side of the equation. -2 + 2 + 16w = -2 + 2 + 10w Combine like terms: -2 + 2 = 0 0 + 16w = -2 + 2 + 10w 16w = -2 + 2 + 10w Combine like terms: -2 + 2 = 0 16w = 0 + 10w 16w = 10w Solving 16w = 10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-10w' to each side of the equation. 16w + -10w = 10w + -10w Combine like terms: 16w + -10w = 6w 6w = 10w + -10w Combine like terms: 10w + -10w = 0 6w = 0 Divide each side by '6'. w = 0 Simplifying w = 0
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