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Simplifying 3w + 39 = -4(w + -1) Reorder the terms: 39 + 3w = -4(w + -1) Reorder the terms: 39 + 3w = -4(-1 + w) 39 + 3w = (-1 * -4 + w * -4) 39 + 3w = (4 + -4w) Solving 39 + 3w = 4 + -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 + 3w + 4w = 4 + -4w + 4w Combine like terms: 3w + 4w = 7w 39 + 7w = 4 + -4w + 4w Combine like terms: -4w + 4w = 0 39 + 7w = 4 + 0 39 + 7w = 4 Add '-39' to each side of the equation. 39 + -39 + 7w = 4 + -39 Combine like terms: 39 + -39 = 0 0 + 7w = 4 + -39 7w = 4 + -39 Combine like terms: 4 + -39 = -35 7w = -35 Divide each side by '7'. w = -5 Simplifying w = -5
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