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Simplifying -7w + 47 = 5(w + -5) Reorder the terms: 47 + -7w = 5(w + -5) Reorder the terms: 47 + -7w = 5(-5 + w) 47 + -7w = (-5 * 5 + w * 5) 47 + -7w = (-25 + 5w) Solving 47 + -7w = -25 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. 47 + -7w + -5w = -25 + 5w + -5w Combine like terms: -7w + -5w = -12w 47 + -12w = -25 + 5w + -5w Combine like terms: 5w + -5w = 0 47 + -12w = -25 + 0 47 + -12w = -25 Add '-47' to each side of the equation. 47 + -47 + -12w = -25 + -47 Combine like terms: 47 + -47 = 0 0 + -12w = -25 + -47 -12w = -25 + -47 Combine like terms: -25 + -47 = -72 -12w = -72 Divide each side by '-12'. w = 6 Simplifying w = 6
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