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Simplifying 20 = 4w + 2(w + -8) Reorder the terms: 20 = 4w + 2(-8 + w) 20 = 4w + (-8 * 2 + w * 2) 20 = 4w + (-16 + 2w) Reorder the terms: 20 = -16 + 4w + 2w Combine like terms: 4w + 2w = 6w 20 = -16 + 6w Solving 20 = -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. 20 + -6w = -16 + 6w + -6w Combine like terms: 6w + -6w = 0 20 + -6w = -16 + 0 20 + -6w = -16 Add '-20' to each side of the equation. 20 + -20 + -6w = -16 + -20 Combine like terms: 20 + -20 = 0 0 + -6w = -16 + -20 -6w = -16 + -20 Combine like terms: -16 + -20 = -36 -6w = -36 Divide each side by '-6'. w = 6 Simplifying w = 6
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