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Simplifying -20 = 4(w + -2) + -7w Reorder the terms: -20 = 4(-2 + w) + -7w -20 = (-2 * 4 + w * 4) + -7w -20 = (-8 + 4w) + -7w Combine like terms: 4w + -7w = -3w -20 = -8 + -3w Solving -20 = -8 + -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 + 3w = -8 + -3w + 3w Combine like terms: -3w + 3w = 0 -20 + 3w = -8 + 0 -20 + 3w = -8 Add '20' to each side of the equation. -20 + 20 + 3w = -8 + 20 Combine like terms: -20 + 20 = 0 0 + 3w = -8 + 20 3w = -8 + 20 Combine like terms: -8 + 20 = 12 3w = 12 Divide each side by '3'. w = 4 Simplifying w = 4
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