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Simplifying -5(w + 6) + 8 = -47 Reorder the terms: -5(6 + w) + 8 = -47 (6 * -5 + w * -5) + 8 = -47 (-30 + -5w) + 8 = -47 Reorder the terms: -30 + 8 + -5w = -47 Combine like terms: -30 + 8 = -22 -22 + -5w = -47 Solving -22 + -5w = -47 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + -5w = -47 + 22 Combine like terms: -22 + 22 = 0 0 + -5w = -47 + 22 -5w = -47 + 22 Combine like terms: -47 + 22 = -25 -5w = -25 Divide each side by '-5'. w = 5 Simplifying w = 5
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