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Simplifying 7(w + -8) = -8w + 49 Reorder the terms: 7(-8 + w) = -8w + 49 (-8 * 7 + w * 7) = -8w + 49 (-56 + 7w) = -8w + 49 Reorder the terms: -56 + 7w = 49 + -8w Solving -56 + 7w = 49 + -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 = 49 + -8w + 8w Combine like terms: 7w + 8w = 15w -56 + 15w = 49 + -8w + 8w Combine like terms: -8w + 8w = 0 -56 + 15w = 49 + 0 -56 + 15w = 49 Add '56' to each side of the equation. -56 + 56 + 15w = 49 + 56 Combine like terms: -56 + 56 = 0 0 + 15w = 49 + 56 15w = 49 + 56 Combine like terms: 49 + 56 = 105 15w = 105 Divide each side by '15'. w = 7 Simplifying w = 7
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