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Simplifying 15w + -19 = 7w + -11 Reorder the terms: -19 + 15w = 7w + -11 Reorder the terms: -19 + 15w = -11 + 7w Solving -19 + 15w = -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. -19 + 15w + -7w = -11 + 7w + -7w Combine like terms: 15w + -7w = 8w -19 + 8w = -11 + 7w + -7w Combine like terms: 7w + -7w = 0 -19 + 8w = -11 + 0 -19 + 8w = -11 Add '19' to each side of the equation. -19 + 19 + 8w = -11 + 19 Combine like terms: -19 + 19 = 0 0 + 8w = -11 + 19 8w = -11 + 19 Combine like terms: -11 + 19 = 8 8w = 8 Divide each side by '8'. w = 1 Simplifying w = 1
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