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Simplifying 20 = -7w + 3(w + -4) Reorder the terms: 20 = -7w + 3(-4 + w) 20 = -7w + (-4 * 3 + w * 3) 20 = -7w + (-12 + 3w) Reorder the terms: 20 = -12 + -7w + 3w Combine like terms: -7w + 3w = -4w 20 = -12 + -4w Solving 20 = -12 + -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 + 4w = -12 + -4w + 4w Combine like terms: -4w + 4w = 0 20 + 4w = -12 + 0 20 + 4w = -12 Add '-20' to each side of the equation. 20 + -20 + 4w = -12 + -20 Combine like terms: 20 + -20 = 0 0 + 4w = -12 + -20 4w = -12 + -20 Combine like terms: -12 + -20 = -32 4w = -32 Divide each side by '4'. w = -8 Simplifying w = -8
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