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Simplifying 3w + 40 = -8(w + 6) Reorder the terms: 40 + 3w = -8(w + 6) Reorder the terms: 40 + 3w = -8(6 + w) 40 + 3w = (6 * -8 + w * -8) 40 + 3w = (-48 + -8w) Solving 40 + 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. 40 + 3w + 8w = -48 + -8w + 8w Combine like terms: 3w + 8w = 11w 40 + 11w = -48 + -8w + 8w Combine like terms: -8w + 8w = 0 40 + 11w = -48 + 0 40 + 11w = -48 Add '-40' to each side of the equation. 40 + -40 + 11w = -48 + -40 Combine like terms: 40 + -40 = 0 0 + 11w = -48 + -40 11w = -48 + -40 Combine like terms: -48 + -40 = -88 11w = -88 Divide each side by '11'. w = -8 Simplifying w = -8
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