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Simplifying 8w + -2 = -3(w + 8) Reorder the terms: -2 + 8w = -3(w + 8) Reorder the terms: -2 + 8w = -3(8 + w) -2 + 8w = (8 * -3 + w * -3) -2 + 8w = (-24 + -3w) Solving -2 + 8w = -24 + -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. -2 + 8w + 3w = -24 + -3w + 3w Combine like terms: 8w + 3w = 11w -2 + 11w = -24 + -3w + 3w Combine like terms: -3w + 3w = 0 -2 + 11w = -24 + 0 -2 + 11w = -24 Add '2' to each side of the equation. -2 + 2 + 11w = -24 + 2 Combine like terms: -2 + 2 = 0 0 + 11w = -24 + 2 11w = -24 + 2 Combine like terms: -24 + 2 = -22 11w = -22 Divide each side by '11'. w = -2 Simplifying w = -2
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