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Simplifying 39 = 7(w + -3) + 3w Reorder the terms: 39 = 7(-3 + w) + 3w 39 = (-3 * 7 + w * 7) + 3w 39 = (-21 + 7w) + 3w Combine like terms: 7w + 3w = 10w 39 = -21 + 10w Solving 39 = -21 + 10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-10w' to each side of the equation. 39 + -10w = -21 + 10w + -10w Combine like terms: 10w + -10w = 0 39 + -10w = -21 + 0 39 + -10w = -21 Add '-39' to each side of the equation. 39 + -39 + -10w = -21 + -39 Combine like terms: 39 + -39 = 0 0 + -10w = -21 + -39 -10w = -21 + -39 Combine like terms: -21 + -39 = -60 -10w = -60 Divide each side by '-10'. w = 6 Simplifying w = 6
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