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Simplifying 32 = 2(-7w + -5) Reorder the terms: 32 = 2(-5 + -7w) 32 = (-5 * 2 + -7w * 2) 32 = (-10 + -14w) Solving 32 = -10 + -14w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '14w' to each side of the equation. 32 + 14w = -10 + -14w + 14w Combine like terms: -14w + 14w = 0 32 + 14w = -10 + 0 32 + 14w = -10 Add '-32' to each side of the equation. 32 + -32 + 14w = -10 + -32 Combine like terms: 32 + -32 = 0 0 + 14w = -10 + -32 14w = -10 + -32 Combine like terms: -10 + -32 = -42 14w = -42 Divide each side by '14'. w = -3 Simplifying w = -3
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