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Simplifying 5(w + -6) = -3w + 2 Reorder the terms: 5(-6 + w) = -3w + 2 (-6 * 5 + w * 5) = -3w + 2 (-30 + 5w) = -3w + 2 Reorder the terms: -30 + 5w = 2 + -3w Solving -30 + 5w = 2 + -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. -30 + 5w + 3w = 2 + -3w + 3w Combine like terms: 5w + 3w = 8w -30 + 8w = 2 + -3w + 3w Combine like terms: -3w + 3w = 0 -30 + 8w = 2 + 0 -30 + 8w = 2 Add '30' to each side of the equation. -30 + 30 + 8w = 2 + 30 Combine like terms: -30 + 30 = 0 0 + 8w = 2 + 30 8w = 2 + 30 Combine like terms: 2 + 30 = 32 8w = 32 Divide each side by '8'. w = 4 Simplifying w = 4
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