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Simplifying 3(w + -1) + 2(w + -3) = 11 Reorder the terms: 3(-1 + w) + 2(w + -3) = 11 (-1 * 3 + w * 3) + 2(w + -3) = 11 (-3 + 3w) + 2(w + -3) = 11 Reorder the terms: -3 + 3w + 2(-3 + w) = 11 -3 + 3w + (-3 * 2 + w * 2) = 11 -3 + 3w + (-6 + 2w) = 11 Reorder the terms: -3 + -6 + 3w + 2w = 11 Combine like terms: -3 + -6 = -9 -9 + 3w + 2w = 11 Combine like terms: 3w + 2w = 5w -9 + 5w = 11 Solving -9 + 5w = 11 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 5w = 11 + 9 Combine like terms: -9 + 9 = 0 0 + 5w = 11 + 9 5w = 11 + 9 Combine like terms: 11 + 9 = 20 5w = 20 Divide each side by '5'. w = 4 Simplifying w = 4
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