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Simplifying 8w + 40 = 2(w + 2) Reorder the terms: 40 + 8w = 2(w + 2) Reorder the terms: 40 + 8w = 2(2 + w) 40 + 8w = (2 * 2 + w * 2) 40 + 8w = (4 + 2w) Solving 40 + 8w = 4 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 40 + 8w + -2w = 4 + 2w + -2w Combine like terms: 8w + -2w = 6w 40 + 6w = 4 + 2w + -2w Combine like terms: 2w + -2w = 0 40 + 6w = 4 + 0 40 + 6w = 4 Add '-40' to each side of the equation. 40 + -40 + 6w = 4 + -40 Combine like terms: 40 + -40 = 0 0 + 6w = 4 + -40 6w = 4 + -40 Combine like terms: 4 + -40 = -36 6w = -36 Divide each side by '6'. w = -6 Simplifying w = -6
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