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Simplifying -3(w + 5) + 7 = -23 Reorder the terms: -3(5 + w) + 7 = -23 (5 * -3 + w * -3) + 7 = -23 (-15 + -3w) + 7 = -23 Reorder the terms: -15 + 7 + -3w = -23 Combine like terms: -15 + 7 = -8 -8 + -3w = -23 Solving -8 + -3w = -23 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 + -3w = -23 + 8 Combine like terms: -8 + 8 = 0 0 + -3w = -23 + 8 -3w = -23 + 8 Combine like terms: -23 + 8 = -15 -3w = -15 Divide each side by '-3'. w = 5 Simplifying w = 5
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