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Simplifying -7(w + -8) = 8w + 26 Reorder the terms: -7(-8 + w) = 8w + 26 (-8 * -7 + w * -7) = 8w + 26 (56 + -7w) = 8w + 26 Reorder the terms: 56 + -7w = 26 + 8w Solving 56 + -7w = 26 + 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. 56 + -7w + -8w = 26 + 8w + -8w Combine like terms: -7w + -8w = -15w 56 + -15w = 26 + 8w + -8w Combine like terms: 8w + -8w = 0 56 + -15w = 26 + 0 56 + -15w = 26 Add '-56' to each side of the equation. 56 + -56 + -15w = 26 + -56 Combine like terms: 56 + -56 = 0 0 + -15w = 26 + -56 -15w = 26 + -56 Combine like terms: 26 + -56 = -30 -15w = -30 Divide each side by '-15'. w = 2 Simplifying w = 2
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