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Simplifying 2w + 2 = 8(w + 4) Reorder the terms: 2 + 2w = 8(w + 4) Reorder the terms: 2 + 2w = 8(4 + w) 2 + 2w = (4 * 8 + w * 8) 2 + 2w = (32 + 8w) Solving 2 + 2w = 32 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. 2 + 2w + -8w = 32 + 8w + -8w Combine like terms: 2w + -8w = -6w 2 + -6w = 32 + 8w + -8w Combine like terms: 8w + -8w = 0 2 + -6w = 32 + 0 2 + -6w = 32 Add '-2' to each side of the equation. 2 + -2 + -6w = 32 + -2 Combine like terms: 2 + -2 = 0 0 + -6w = 32 + -2 -6w = 32 + -2 Combine like terms: 32 + -2 = 30 -6w = 30 Divide each side by '-6'. w = -5 Simplifying w = -5
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