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Simplifying -32 = 3(w + -4) + -7w Reorder the terms: -32 = 3(-4 + w) + -7w -32 = (-4 * 3 + w * 3) + -7w -32 = (-12 + 3w) + -7w Combine like terms: 3w + -7w = -4w -32 = -12 + -4w Solving -32 = -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. -32 + 4w = -12 + -4w + 4w Combine like terms: -4w + 4w = 0 -32 + 4w = -12 + 0 -32 + 4w = -12 Add '32' to each side of the equation. -32 + 32 + 4w = -12 + 32 Combine like terms: -32 + 32 = 0 0 + 4w = -12 + 32 4w = -12 + 32 Combine like terms: -12 + 32 = 20 4w = 20 Divide each side by '4'. w = 5 Simplifying w = 5
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