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Simplifying 10 = -8w + 2(w + 8) Reorder the terms: 10 = -8w + 2(8 + w) 10 = -8w + (8 * 2 + w * 2) 10 = -8w + (16 + 2w) Reorder the terms: 10 = 16 + -8w + 2w Combine like terms: -8w + 2w = -6w 10 = 16 + -6w Solving 10 = 16 + -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. 10 + 6w = 16 + -6w + 6w Combine like terms: -6w + 6w = 0 10 + 6w = 16 + 0 10 + 6w = 16 Add '-10' to each side of the equation. 10 + -10 + 6w = 16 + -10 Combine like terms: 10 + -10 = 0 0 + 6w = 16 + -10 6w = 16 + -10 Combine like terms: 16 + -10 = 6 6w = 6 Divide each side by '6'. w = 1 Simplifying w = 1
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