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Simplifying 2 = -8w + 2(w + -5) Reorder the terms: 2 = -8w + 2(-5 + w) 2 = -8w + (-5 * 2 + w * 2) 2 = -8w + (-10 + 2w) Reorder the terms: 2 = -10 + -8w + 2w Combine like terms: -8w + 2w = -6w 2 = -10 + -6w Solving 2 = -10 + -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. 2 + 6w = -10 + -6w + 6w Combine like terms: -6w + 6w = 0 2 + 6w = -10 + 0 2 + 6w = -10 Add '-2' to each side of the equation. 2 + -2 + 6w = -10 + -2 Combine like terms: 2 + -2 = 0 0 + 6w = -10 + -2 6w = -10 + -2 Combine like terms: -10 + -2 = -12 6w = -12 Divide each side by '6'. w = -2 Simplifying w = -2
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