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Simplifying 14w + 16w + -3 + 2 = -2w + 2 + -3 Reorder the terms: -3 + 2 + 14w + 16w = -2w + 2 + -3 Combine like terms: -3 + 2 = -1 -1 + 14w + 16w = -2w + 2 + -3 Combine like terms: 14w + 16w = 30w -1 + 30w = -2w + 2 + -3 Reorder the terms: -1 + 30w = 2 + -3 + -2w Combine like terms: 2 + -3 = -1 -1 + 30w = -1 + -2w Add '1' to each side of the equation. -1 + 1 + 30w = -1 + 1 + -2w Combine like terms: -1 + 1 = 0 0 + 30w = -1 + 1 + -2w 30w = -1 + 1 + -2w Combine like terms: -1 + 1 = 0 30w = 0 + -2w 30w = -2w Solving 30w = -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. 30w + 2w = -2w + 2w Combine like terms: 30w + 2w = 32w 32w = -2w + 2w Combine like terms: -2w + 2w = 0 32w = 0 Divide each side by '32'. w = 0 Simplifying w = 0
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