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Simplifying 20 = 2w + 2(3w + -2) Reorder the terms: 20 = 2w + 2(-2 + 3w) 20 = 2w + (-2 * 2 + 3w * 2) 20 = 2w + (-4 + 6w) Reorder the terms: 20 = -4 + 2w + 6w Combine like terms: 2w + 6w = 8w 20 = -4 + 8w Solving 20 = -4 + 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. 20 + -8w = -4 + 8w + -8w Combine like terms: 8w + -8w = 0 20 + -8w = -4 + 0 20 + -8w = -4 Add '-20' to each side of the equation. 20 + -20 + -8w = -4 + -20 Combine like terms: 20 + -20 = 0 0 + -8w = -4 + -20 -8w = -4 + -20 Combine like terms: -4 + -20 = -24 -8w = -24 Divide each side by '-8'. w = 3 Simplifying w = 3
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