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Simplifying -9w + -39 = -3(w + 5) Reorder the terms: -39 + -9w = -3(w + 5) Reorder the terms: -39 + -9w = -3(5 + w) -39 + -9w = (5 * -3 + w * -3) -39 + -9w = (-15 + -3w) Solving -39 + -9w = -15 + -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 = -15 + -3w + 3w Combine like terms: -9w + 3w = -6w -39 + -6w = -15 + -3w + 3w Combine like terms: -3w + 3w = 0 -39 + -6w = -15 + 0 -39 + -6w = -15 Add '39' to each side of the equation. -39 + 39 + -6w = -15 + 39 Combine like terms: -39 + 39 = 0 0 + -6w = -15 + 39 -6w = -15 + 39 Combine like terms: -15 + 39 = 24 -6w = 24 Divide each side by '-6'. w = -4 Simplifying w = -4
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