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Simplifying -3w + 39 = 7(w + 7) Reorder the terms: 39 + -3w = 7(w + 7) Reorder the terms: 39 + -3w = 7(7 + w) 39 + -3w = (7 * 7 + w * 7) 39 + -3w = (49 + 7w) Solving 39 + -3w = 49 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. 39 + -3w + -7w = 49 + 7w + -7w Combine like terms: -3w + -7w = -10w 39 + -10w = 49 + 7w + -7w Combine like terms: 7w + -7w = 0 39 + -10w = 49 + 0 39 + -10w = 49 Add '-39' to each side of the equation. 39 + -39 + -10w = 49 + -39 Combine like terms: 39 + -39 = 0 0 + -10w = 49 + -39 -10w = 49 + -39 Combine like terms: 49 + -39 = 10 -10w = 10 Divide each side by '-10'. w = -1 Simplifying w = -1
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