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Simplifying 5w + -12 = -4(w + -6) Reorder the terms: -12 + 5w = -4(w + -6) Reorder the terms: -12 + 5w = -4(-6 + w) -12 + 5w = (-6 * -4 + w * -4) -12 + 5w = (24 + -4w) Solving -12 + 5w = 24 + -4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4w' to each side of the equation. -12 + 5w + 4w = 24 + -4w + 4w Combine like terms: 5w + 4w = 9w -12 + 9w = 24 + -4w + 4w Combine like terms: -4w + 4w = 0 -12 + 9w = 24 + 0 -12 + 9w = 24 Add '12' to each side of the equation. -12 + 12 + 9w = 24 + 12 Combine like terms: -12 + 12 = 0 0 + 9w = 24 + 12 9w = 24 + 12 Combine like terms: 24 + 12 = 36 9w = 36 Divide each side by '9'. w = 4 Simplifying w = 4
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