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Simplifying 2(2w + 3) + 2 = 6w + 6 + -3 Reorder the terms: 2(3 + 2w) + 2 = 6w + 6 + -3 (3 * 2 + 2w * 2) + 2 = 6w + 6 + -3 (6 + 4w) + 2 = 6w + 6 + -3 Reorder the terms: 6 + 2 + 4w = 6w + 6 + -3 Combine like terms: 6 + 2 = 8 8 + 4w = 6w + 6 + -3 Reorder the terms: 8 + 4w = 6 + -3 + 6w Combine like terms: 6 + -3 = 3 8 + 4w = 3 + 6w Solving 8 + 4w = 3 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. 8 + 4w + -6w = 3 + 6w + -6w Combine like terms: 4w + -6w = -2w 8 + -2w = 3 + 6w + -6w Combine like terms: 6w + -6w = 0 8 + -2w = 3 + 0 8 + -2w = 3 Add '-8' to each side of the equation. 8 + -8 + -2w = 3 + -8 Combine like terms: 8 + -8 = 0 0 + -2w = 3 + -8 -2w = 3 + -8 Combine like terms: 3 + -8 = -5 -2w = -5 Divide each side by '-2'. w = 2.5 Simplifying w = 2.5
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