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Simplifying 3(w + 2w) + (5 + -2) * 4 + 14w = 0 Combine like terms: w + 2w = 3w 3(3w) + (5 + -2) * 4 + 14w = 0 Remove parenthesis around (3w) 3 * 3w + (5 + -2) * 4 + 14w = 0 Multiply 3 * 3 9w + (5 + -2) * 4 + 14w = 0 Combine like terms: 5 + -2 = 3 9w + (3) * 4 + 14w = 0 Multiply 3 * 4 9w + 12 + 14w = 0 Reorder the terms: 12 + 9w + 14w = 0 Combine like terms: 9w + 14w = 23w 12 + 23w = 0 Solving 12 + 23w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 23w = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 23w = 0 + -12 23w = 0 + -12 Combine like terms: 0 + -12 = -12 23w = -12 Divide each side by '23'. w = -0.5217391304 Simplifying w = -0.5217391304
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