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Simplifying -6 = -3w + 8(w + 3) Reorder the terms: -6 = -3w + 8(3 + w) -6 = -3w + (3 * 8 + w * 8) -6 = -3w + (24 + 8w) Reorder the terms: -6 = 24 + -3w + 8w Combine like terms: -3w + 8w = 5w -6 = 24 + 5w Solving -6 = 24 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. -6 + -5w = 24 + 5w + -5w Combine like terms: 5w + -5w = 0 -6 + -5w = 24 + 0 -6 + -5w = 24 Add '6' to each side of the equation. -6 + 6 + -5w = 24 + 6 Combine like terms: -6 + 6 = 0 0 + -5w = 24 + 6 -5w = 24 + 6 Combine like terms: 24 + 6 = 30 -5w = 30 Divide each side by '-5'. w = -6 Simplifying w = -6
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