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Simplifying 5(w + -1) = 7w + 11 Reorder the terms: 5(-1 + w) = 7w + 11 (-1 * 5 + w * 5) = 7w + 11 (-5 + 5w) = 7w + 11 Reorder the terms: -5 + 5w = 11 + 7w Solving -5 + 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. -5 + 5w + -7w = 11 + 7w + -7w Combine like terms: 5w + -7w = -2w -5 + -2w = 11 + 7w + -7w Combine like terms: 7w + -7w = 0 -5 + -2w = 11 + 0 -5 + -2w = 11 Add '5' to each side of the equation. -5 + 5 + -2w = 11 + 5 Combine like terms: -5 + 5 = 0 0 + -2w = 11 + 5 -2w = 11 + 5 Combine like terms: 11 + 5 = 16 -2w = 16 Divide each side by '-2'. w = -8 Simplifying w = -8
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