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Simplifying -4w + 4(-7 + 2w) = -12 + 9w -4w + (-7 * 4 + 2w * 4) = -12 + 9w -4w + (-28 + 8w) = -12 + 9w Reorder the terms: -28 + -4w + 8w = -12 + 9w Combine like terms: -4w + 8w = 4w -28 + 4w = -12 + 9w Solving -28 + 4w = -12 + 9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9w' to each side of the equation. -28 + 4w + -9w = -12 + 9w + -9w Combine like terms: 4w + -9w = -5w -28 + -5w = -12 + 9w + -9w Combine like terms: 9w + -9w = 0 -28 + -5w = -12 + 0 -28 + -5w = -12 Add '28' to each side of the equation. -28 + 28 + -5w = -12 + 28 Combine like terms: -28 + 28 = 0 0 + -5w = -12 + 28 -5w = -12 + 28 Combine like terms: -12 + 28 = 16 -5w = 16 Divide each side by '-5'. w = -3.2 Simplifying w = -3.2
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