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Simplifying 4w + 20 = -3(w + -2) Reorder the terms: 20 + 4w = -3(w + -2) Reorder the terms: 20 + 4w = -3(-2 + w) 20 + 4w = (-2 * -3 + w * -3) 20 + 4w = (6 + -3w) Solving 20 + 4w = 6 + -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. 20 + 4w + 3w = 6 + -3w + 3w Combine like terms: 4w + 3w = 7w 20 + 7w = 6 + -3w + 3w Combine like terms: -3w + 3w = 0 20 + 7w = 6 + 0 20 + 7w = 6 Add '-20' to each side of the equation. 20 + -20 + 7w = 6 + -20 Combine like terms: 20 + -20 = 0 0 + 7w = 6 + -20 7w = 6 + -20 Combine like terms: 6 + -20 = -14 7w = -14 Divide each side by '7'. w = -2 Simplifying w = -2
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