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Simplifying 2(2w + -3) + 2w = 102 Reorder the terms: 2(-3 + 2w) + 2w = 102 (-3 * 2 + 2w * 2) + 2w = 102 (-6 + 4w) + 2w = 102 Combine like terms: 4w + 2w = 6w -6 + 6w = 102 Solving -6 + 6w = 102 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 6w = 102 + 6 Combine like terms: -6 + 6 = 0 0 + 6w = 102 + 6 6w = 102 + 6 Combine like terms: 102 + 6 = 108 6w = 108 Divide each side by '6'. w = 18 Simplifying w = 18
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