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Simplifying 8w + -23 = -7(w + -1) Reorder the terms: -23 + 8w = -7(w + -1) Reorder the terms: -23 + 8w = -7(-1 + w) -23 + 8w = (-1 * -7 + w * -7) -23 + 8w = (7 + -7w) Solving -23 + 8w = 7 + -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. -23 + 8w + 7w = 7 + -7w + 7w Combine like terms: 8w + 7w = 15w -23 + 15w = 7 + -7w + 7w Combine like terms: -7w + 7w = 0 -23 + 15w = 7 + 0 -23 + 15w = 7 Add '23' to each side of the equation. -23 + 23 + 15w = 7 + 23 Combine like terms: -23 + 23 = 0 0 + 15w = 7 + 23 15w = 7 + 23 Combine like terms: 7 + 23 = 30 15w = 30 Divide each side by '15'. w = 2 Simplifying w = 2
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