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Simplifying 3 = 3(w + -3) + -7w Reorder the terms: 3 = 3(-3 + w) + -7w 3 = (-3 * 3 + w * 3) + -7w 3 = (-9 + 3w) + -7w Combine like terms: 3w + -7w = -4w 3 = -9 + -4w Solving 3 = -9 + -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. 3 + 4w = -9 + -4w + 4w Combine like terms: -4w + 4w = 0 3 + 4w = -9 + 0 3 + 4w = -9 Add '-3' to each side of the equation. 3 + -3 + 4w = -9 + -3 Combine like terms: 3 + -3 = 0 0 + 4w = -9 + -3 4w = -9 + -3 Combine like terms: -9 + -3 = -12 4w = -12 Divide each side by '4'. w = -3 Simplifying w = -3
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