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Simplifying 5(w + -3) = 3w + -31 Reorder the terms: 5(-3 + w) = 3w + -31 (-3 * 5 + w * 5) = 3w + -31 (-15 + 5w) = 3w + -31 Reorder the terms: -15 + 5w = -31 + 3w Solving -15 + 5w = -31 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. -15 + 5w + -3w = -31 + 3w + -3w Combine like terms: 5w + -3w = 2w -15 + 2w = -31 + 3w + -3w Combine like terms: 3w + -3w = 0 -15 + 2w = -31 + 0 -15 + 2w = -31 Add '15' to each side of the equation. -15 + 15 + 2w = -31 + 15 Combine like terms: -15 + 15 = 0 0 + 2w = -31 + 15 2w = -31 + 15 Combine like terms: -31 + 15 = -16 2w = -16 Divide each side by '2'. w = -8 Simplifying w = -8
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