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Simplifying 4w + 39 = -3(w + 8) Reorder the terms: 39 + 4w = -3(w + 8) Reorder the terms: 39 + 4w = -3(8 + w) 39 + 4w = (8 * -3 + w * -3) 39 + 4w = (-24 + -3w) Solving 39 + 4w = -24 + -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 + 4w + 3w = -24 + -3w + 3w Combine like terms: 4w + 3w = 7w 39 + 7w = -24 + -3w + 3w Combine like terms: -3w + 3w = 0 39 + 7w = -24 + 0 39 + 7w = -24 Add '-39' to each side of the equation. 39 + -39 + 7w = -24 + -39 Combine like terms: 39 + -39 = 0 0 + 7w = -24 + -39 7w = -24 + -39 Combine like terms: -24 + -39 = -63 7w = -63 Divide each side by '7'. w = -9 Simplifying w = -9
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