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Simplifying 39 = -6w + 3(w + 7) Reorder the terms: 39 = -6w + 3(7 + w) 39 = -6w + (7 * 3 + w * 3) 39 = -6w + (21 + 3w) Reorder the terms: 39 = 21 + -6w + 3w Combine like terms: -6w + 3w = -3w 39 = 21 + -3w Solving 39 = 21 + -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 + 3w = 21 + -3w + 3w Combine like terms: -3w + 3w = 0 39 + 3w = 21 + 0 39 + 3w = 21 Add '-39' to each side of the equation. 39 + -39 + 3w = 21 + -39 Combine like terms: 39 + -39 = 0 0 + 3w = 21 + -39 3w = 21 + -39 Combine like terms: 21 + -39 = -18 3w = -18 Divide each side by '3'. w = -6 Simplifying w = -6
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