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Simplifying 7w + -13 = 5(w + -1) Reorder the terms: -13 + 7w = 5(w + -1) Reorder the terms: -13 + 7w = 5(-1 + w) -13 + 7w = (-1 * 5 + w * 5) -13 + 7w = (-5 + 5w) Solving -13 + 7w = -5 + 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. -13 + 7w + -5w = -5 + 5w + -5w Combine like terms: 7w + -5w = 2w -13 + 2w = -5 + 5w + -5w Combine like terms: 5w + -5w = 0 -13 + 2w = -5 + 0 -13 + 2w = -5 Add '13' to each side of the equation. -13 + 13 + 2w = -5 + 13 Combine like terms: -13 + 13 = 0 0 + 2w = -5 + 13 2w = -5 + 13 Combine like terms: -5 + 13 = 8 2w = 8 Divide each side by '2'. w = 4 Simplifying w = 4
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