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Simplifying -5(w + 5) = 7w + 11 Reorder the terms: -5(5 + w) = 7w + 11 (5 * -5 + w * -5) = 7w + 11 (-25 + -5w) = 7w + 11 Reorder the terms: -25 + -5w = 11 + 7w Solving -25 + -5w = 11 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. -25 + -5w + -7w = 11 + 7w + -7w Combine like terms: -5w + -7w = -12w -25 + -12w = 11 + 7w + -7w Combine like terms: 7w + -7w = 0 -25 + -12w = 11 + 0 -25 + -12w = 11 Add '25' to each side of the equation. -25 + 25 + -12w = 11 + 25 Combine like terms: -25 + 25 = 0 0 + -12w = 11 + 25 -12w = 11 + 25 Combine like terms: 11 + 25 = 36 -12w = 36 Divide each side by '-12'. w = -3 Simplifying w = -3
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