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Simplifying -39 = 3(w + -5) + -7w Reorder the terms: -39 = 3(-5 + w) + -7w -39 = (-5 * 3 + w * 3) + -7w -39 = (-15 + 3w) + -7w Combine like terms: 3w + -7w = -4w -39 = -15 + -4w Solving -39 = -15 + -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. -39 + 4w = -15 + -4w + 4w Combine like terms: -4w + 4w = 0 -39 + 4w = -15 + 0 -39 + 4w = -15 Add '39' to each side of the equation. -39 + 39 + 4w = -15 + 39 Combine like terms: -39 + 39 = 0 0 + 4w = -15 + 39 4w = -15 + 39 Combine like terms: -15 + 39 = 24 4w = 24 Divide each side by '4'. w = 6 Simplifying w = 6
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