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Simplifying 7 + -5(w + 3) = 17 Reorder the terms: 7 + -5(3 + w) = 17 7 + (3 * -5 + w * -5) = 17 7 + (-15 + -5w) = 17 Combine like terms: 7 + -15 = -8 -8 + -5w = 17 Solving -8 + -5w = 17 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -5w = 17 + 8 Combine like terms: -8 + 8 = 0 0 + -5w = 17 + 8 -5w = 17 + 8 Combine like terms: 17 + 8 = 25 -5w = 25 Divide each side by '-5'. w = -5 Simplifying w = -5
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