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Simplifying 36 = 32 + -4(-5 + -2w) 36 = 32 + (-5 * -4 + -2w * -4) 36 = 32 + (20 + 8w) Combine like terms: 32 + 20 = 52 36 = 52 + 8w Solving 36 = 52 + 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. 36 + -8w = 52 + 8w + -8w Combine like terms: 8w + -8w = 0 36 + -8w = 52 + 0 36 + -8w = 52 Add '-36' to each side of the equation. 36 + -36 + -8w = 52 + -36 Combine like terms: 36 + -36 = 0 0 + -8w = 52 + -36 -8w = 52 + -36 Combine like terms: 52 + -36 = 16 -8w = 16 Divide each side by '-8'. w = -2 Simplifying w = -2
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