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Simplifying 7(w + -8) + -3w = -32 Reorder the terms: 7(-8 + w) + -3w = -32 (-8 * 7 + w * 7) + -3w = -32 (-56 + 7w) + -3w = -32 Combine like terms: 7w + -3w = 4w -56 + 4w = -32 Solving -56 + 4w = -32 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '56' to each side of the equation. -56 + 56 + 4w = -32 + 56 Combine like terms: -56 + 56 = 0 0 + 4w = -32 + 56 4w = -32 + 56 Combine like terms: -32 + 56 = 24 4w = 24 Divide each side by '4'. w = 6 Simplifying w = 6
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