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Simplifying 3w + 2(w + -6) = -7 Reorder the terms: 3w + 2(-6 + w) = -7 3w + (-6 * 2 + w * 2) = -7 3w + (-12 + 2w) = -7 Reorder the terms: -12 + 3w + 2w = -7 Combine like terms: 3w + 2w = 5w -12 + 5w = -7 Solving -12 + 5w = -7 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 + 5w = -7 + 12 Combine like terms: -12 + 12 = 0 0 + 5w = -7 + 12 5w = -7 + 12 Combine like terms: -7 + 12 = 5 5w = 5 Divide each side by '5'. w = 1 Simplifying w = 1
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