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Simplifying 8(w + -7) = 7(9 + w) Reorder the terms: 8(-7 + w) = 7(9 + w) (-7 * 8 + w * 8) = 7(9 + w) (-56 + 8w) = 7(9 + w) -56 + 8w = (9 * 7 + w * 7) -56 + 8w = (63 + 7w) Solving -56 + 8w = 63 + 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. -56 + 8w + -7w = 63 + 7w + -7w Combine like terms: 8w + -7w = 1w -56 + 1w = 63 + 7w + -7w Combine like terms: 7w + -7w = 0 -56 + 1w = 63 + 0 -56 + 1w = 63 Add '56' to each side of the equation. -56 + 56 + 1w = 63 + 56 Combine like terms: -56 + 56 = 0 0 + 1w = 63 + 56 1w = 63 + 56 Combine like terms: 63 + 56 = 119 1w = 119 Divide each side by '1'. w = 119 Simplifying w = 119
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