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Simplifying -7w + 19 = 8w + -11 Reorder the terms: 19 + -7w = 8w + -11 Reorder the terms: 19 + -7w = -11 + 8w Solving 19 + -7w = -11 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. 19 + -7w + -8w = -11 + 8w + -8w Combine like terms: -7w + -8w = -15w 19 + -15w = -11 + 8w + -8w Combine like terms: 8w + -8w = 0 19 + -15w = -11 + 0 19 + -15w = -11 Add '-19' to each side of the equation. 19 + -19 + -15w = -11 + -19 Combine like terms: 19 + -19 = 0 0 + -15w = -11 + -19 -15w = -11 + -19 Combine like terms: -11 + -19 = -30 -15w = -30 Divide each side by '-15'. w = 2 Simplifying w = 2
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