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Simplifying 5w + -7 = -8(w + 3) Reorder the terms: -7 + 5w = -8(w + 3) Reorder the terms: -7 + 5w = -8(3 + w) -7 + 5w = (3 * -8 + w * -8) -7 + 5w = (-24 + -8w) Solving -7 + 5w = -24 + -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. -7 + 5w + 8w = -24 + -8w + 8w Combine like terms: 5w + 8w = 13w -7 + 13w = -24 + -8w + 8w Combine like terms: -8w + 8w = 0 -7 + 13w = -24 + 0 -7 + 13w = -24 Add '7' to each side of the equation. -7 + 7 + 13w = -24 + 7 Combine like terms: -7 + 7 = 0 0 + 13w = -24 + 7 13w = -24 + 7 Combine like terms: -24 + 7 = -17 13w = -17 Divide each side by '13'. w = -1.307692308 Simplifying w = -1.307692308
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