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Simplifying -9w + -3 = -4(w + -8) Reorder the terms: -3 + -9w = -4(w + -8) Reorder the terms: -3 + -9w = -4(-8 + w) -3 + -9w = (-8 * -4 + w * -4) -3 + -9w = (32 + -4w) Solving -3 + -9w = 32 + -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. -3 + -9w + 4w = 32 + -4w + 4w Combine like terms: -9w + 4w = -5w -3 + -5w = 32 + -4w + 4w Combine like terms: -4w + 4w = 0 -3 + -5w = 32 + 0 -3 + -5w = 32 Add '3' to each side of the equation. -3 + 3 + -5w = 32 + 3 Combine like terms: -3 + 3 = 0 0 + -5w = 32 + 3 -5w = 32 + 3 Combine like terms: 32 + 3 = 35 -5w = 35 Divide each side by '-5'. w = -7 Simplifying w = -7
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