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Simplifying 8 = 3(w + -4) + -7w Reorder the terms: 8 = 3(-4 + w) + -7w 8 = (-4 * 3 + w * 3) + -7w 8 = (-12 + 3w) + -7w Combine like terms: 3w + -7w = -4w 8 = -12 + -4w Solving 8 = -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. 8 + 4w = -12 + -4w + 4w Combine like terms: -4w + 4w = 0 8 + 4w = -12 + 0 8 + 4w = -12 Add '-8' to each side of the equation. 8 + -8 + 4w = -12 + -8 Combine like terms: 8 + -8 = 0 0 + 4w = -12 + -8 4w = -12 + -8 Combine like terms: -12 + -8 = -20 4w = -20 Divide each side by '4'. w = -5 Simplifying w = -5
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