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Simplifying 5(w + -3) + -3(w + 2) = -13 Reorder the terms: 5(-3 + w) + -3(w + 2) = -13 (-3 * 5 + w * 5) + -3(w + 2) = -13 (-15 + 5w) + -3(w + 2) = -13 Reorder the terms: -15 + 5w + -3(2 + w) = -13 -15 + 5w + (2 * -3 + w * -3) = -13 -15 + 5w + (-6 + -3w) = -13 Reorder the terms: -15 + -6 + 5w + -3w = -13 Combine like terms: -15 + -6 = -21 -21 + 5w + -3w = -13 Combine like terms: 5w + -3w = 2w -21 + 2w = -13 Solving -21 + 2w = -13 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 2w = -13 + 21 Combine like terms: -21 + 21 = 0 0 + 2w = -13 + 21 2w = -13 + 21 Combine like terms: -13 + 21 = 8 2w = 8 Divide each side by '2'. w = 4 Simplifying w = 4
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