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Simplifying 6 = 6w + 2(w + -5) Reorder the terms: 6 = 6w + 2(-5 + w) 6 = 6w + (-5 * 2 + w * 2) 6 = 6w + (-10 + 2w) Reorder the terms: 6 = -10 + 6w + 2w Combine like terms: 6w + 2w = 8w 6 = -10 + 8w Solving 6 = -10 + 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. 6 + -8w = -10 + 8w + -8w Combine like terms: 8w + -8w = 0 6 + -8w = -10 + 0 6 + -8w = -10 Add '-6' to each side of the equation. 6 + -6 + -8w = -10 + -6 Combine like terms: 6 + -6 = 0 0 + -8w = -10 + -6 -8w = -10 + -6 Combine like terms: -10 + -6 = -16 -8w = -16 Divide each side by '-8'. w = 2 Simplifying w = 2
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