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Simplifying 6 = -4w + 2(w + -5) Reorder the terms: 6 = -4w + 2(-5 + w) 6 = -4w + (-5 * 2 + w * 2) 6 = -4w + (-10 + 2w) Reorder the terms: 6 = -10 + -4w + 2w Combine like terms: -4w + 2w = -2w 6 = -10 + -2w Solving 6 = -10 + -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. 6 + 2w = -10 + -2w + 2w Combine like terms: -2w + 2w = 0 6 + 2w = -10 + 0 6 + 2w = -10 Add '-6' to each side of the equation. 6 + -6 + 2w = -10 + -6 Combine like terms: 6 + -6 = 0 0 + 2w = -10 + -6 2w = -10 + -6 Combine like terms: -10 + -6 = -16 2w = -16 Divide each side by '2'. w = -8 Simplifying w = -8
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