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Simplifying 3w + -26 = -8(w + 6) Reorder the terms: -26 + 3w = -8(w + 6) Reorder the terms: -26 + 3w = -8(6 + w) -26 + 3w = (6 * -8 + w * -8) -26 + 3w = (-48 + -8w) Solving -26 + 3w = -48 + -8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '8w' to each side of the equation. -26 + 3w + 8w = -48 + -8w + 8w Combine like terms: 3w + 8w = 11w -26 + 11w = -48 + -8w + 8w Combine like terms: -8w + 8w = 0 -26 + 11w = -48 + 0 -26 + 11w = -48 Add '26' to each side of the equation. -26 + 26 + 11w = -48 + 26 Combine like terms: -26 + 26 = 0 0 + 11w = -48 + 26 11w = -48 + 26 Combine like terms: -48 + 26 = -22 11w = -22 Divide each side by '11'. w = -2 Simplifying w = -2
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