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Simplifying 3(w + -4) + -7w = -32 Reorder the terms: 3(-4 + w) + -7w = -32 (-4 * 3 + w * 3) + -7w = -32 (-12 + 3w) + -7w = -32 Combine like terms: 3w + -7w = -4w -12 + -4w = -32 Solving -12 + -4w = -32 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -4w = -32 + 12 Combine like terms: -12 + 12 = 0 0 + -4w = -32 + 12 -4w = -32 + 12 Combine like terms: -32 + 12 = -20 -4w = -20 Divide each side by '-4'. w = 5 Simplifying w = 5
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