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Simplifying 20 = 27 + -4(-4 + -2w) 20 = 27 + (-4 * -4 + -2w * -4) 20 = 27 + (16 + 8w) Combine like terms: 27 + 16 = 43 20 = 43 + 8w Solving 20 = 43 + 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 = 43 + 8w + -8w Combine like terms: 8w + -8w = 0 20 + -8w = 43 + 0 20 + -8w = 43 Add '-20' to each side of the equation. 20 + -20 + -8w = 43 + -20 Combine like terms: 20 + -20 = 0 0 + -8w = 43 + -20 -8w = 43 + -20 Combine like terms: 43 + -20 = 23 -8w = 23 Divide each side by '-8'. w = -2.875 Simplifying w = -2.875
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