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Simplifying 2(w + -7) + -4w = -32 Reorder the terms: 2(-7 + w) + -4w = -32 (-7 * 2 + w * 2) + -4w = -32 (-14 + 2w) + -4w = -32 Combine like terms: 2w + -4w = -2w -14 + -2w = -32 Solving -14 + -2w = -32 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + -2w = -32 + 14 Combine like terms: -14 + 14 = 0 0 + -2w = -32 + 14 -2w = -32 + 14 Combine like terms: -32 + 14 = -18 -2w = -18 Divide each side by '-2'. w = 9 Simplifying w = 9
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