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Simplifying [3 + 2(2w + -3)] + 7 = 0 Reorder the terms: [3 + 2(-3 + 2w)] + 7 = 0 [3 + (-3 * 2 + 2w * 2)] + 7 = 0 [3 + (-6 + 4w)] + 7 = 0 Combine like terms: 3 + -6 = -3 [-3 + 4w] + 7 = 0 Remove brackets around [-3 + 4w] -3 + 4w + 7 = 0 Reorder the terms: -3 + 7 + 4w = 0 Combine like terms: -3 + 7 = 4 4 + 4w = 0 Solving 4 + 4w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 4w = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 4w = 0 + -4 4w = 0 + -4 Combine like terms: 0 + -4 = -4 4w = -4 Divide each side by '4'. w = -1 Simplifying w = -1
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