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Simplifying 9w + -39 = -3(w + -3) Reorder the terms: -39 + 9w = -3(w + -3) Reorder the terms: -39 + 9w = -3(-3 + w) -39 + 9w = (-3 * -3 + w * -3) -39 + 9w = (9 + -3w) Solving -39 + 9w = 9 + -3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3w' to each side of the equation. -39 + 9w + 3w = 9 + -3w + 3w Combine like terms: 9w + 3w = 12w -39 + 12w = 9 + -3w + 3w Combine like terms: -3w + 3w = 0 -39 + 12w = 9 + 0 -39 + 12w = 9 Add '39' to each side of the equation. -39 + 39 + 12w = 9 + 39 Combine like terms: -39 + 39 = 0 0 + 12w = 9 + 39 12w = 9 + 39 Combine like terms: 9 + 39 = 48 12w = 48 Divide each side by '12'. w = 4 Simplifying w = 4
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