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Simplifying -20 = 3(w + 5) + 4w Reorder the terms: -20 = 3(5 + w) + 4w -20 = (5 * 3 + w * 3) + 4w -20 = (15 + 3w) + 4w Combine like terms: 3w + 4w = 7w -20 = 15 + 7w Solving -20 = 15 + 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. -20 + -7w = 15 + 7w + -7w Combine like terms: 7w + -7w = 0 -20 + -7w = 15 + 0 -20 + -7w = 15 Add '20' to each side of the equation. -20 + 20 + -7w = 15 + 20 Combine like terms: -20 + 20 = 0 0 + -7w = 15 + 20 -7w = 15 + 20 Combine like terms: 15 + 20 = 35 -7w = 35 Divide each side by '-7'. w = -5 Simplifying w = -5
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