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Simplifying 3 = -7w + 2(w + -6) Reorder the terms: 3 = -7w + 2(-6 + w) 3 = -7w + (-6 * 2 + w * 2) 3 = -7w + (-12 + 2w) Reorder the terms: 3 = -12 + -7w + 2w Combine like terms: -7w + 2w = -5w 3 = -12 + -5w Solving 3 = -12 + -5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '5w' to each side of the equation. 3 + 5w = -12 + -5w + 5w Combine like terms: -5w + 5w = 0 3 + 5w = -12 + 0 3 + 5w = -12 Add '-3' to each side of the equation. 3 + -3 + 5w = -12 + -3 Combine like terms: 3 + -3 = 0 0 + 5w = -12 + -3 5w = -12 + -3 Combine like terms: -12 + -3 = -15 5w = -15 Divide each side by '5'. w = -3 Simplifying w = -3
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