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Simplifying 3w + 20 = -4(w + 9) Reorder the terms: 20 + 3w = -4(w + 9) Reorder the terms: 20 + 3w = -4(9 + w) 20 + 3w = (9 * -4 + w * -4) 20 + 3w = (-36 + -4w) Solving 20 + 3w = -36 + -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. 20 + 3w + 4w = -36 + -4w + 4w Combine like terms: 3w + 4w = 7w 20 + 7w = -36 + -4w + 4w Combine like terms: -4w + 4w = 0 20 + 7w = -36 + 0 20 + 7w = -36 Add '-20' to each side of the equation. 20 + -20 + 7w = -36 + -20 Combine like terms: 20 + -20 = 0 0 + 7w = -36 + -20 7w = -36 + -20 Combine like terms: -36 + -20 = -56 7w = -56 Divide each side by '7'. w = -8 Simplifying w = -8
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