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Simplifying -8w + 19 = 7(w + 7) Reorder the terms: 19 + -8w = 7(w + 7) Reorder the terms: 19 + -8w = 7(7 + w) 19 + -8w = (7 * 7 + w * 7) 19 + -8w = (49 + 7w) Solving 19 + -8w = 49 + 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 + -8w + -7w = 49 + 7w + -7w Combine like terms: -8w + -7w = -15w 19 + -15w = 49 + 7w + -7w Combine like terms: 7w + -7w = 0 19 + -15w = 49 + 0 19 + -15w = 49 Add '-19' to each side of the equation. 19 + -19 + -15w = 49 + -19 Combine like terms: 19 + -19 = 0 0 + -15w = 49 + -19 -15w = 49 + -19 Combine like terms: 49 + -19 = 30 -15w = 30 Divide each side by '-15'. w = -2 Simplifying w = -2
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