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Simplifying 8(w + -9) = 7w + -8 Reorder the terms: 8(-9 + w) = 7w + -8 (-9 * 8 + w * 8) = 7w + -8 (-72 + 8w) = 7w + -8 Reorder the terms: -72 + 8w = -8 + 7w Solving -72 + 8w = -8 + 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. -72 + 8w + -7w = -8 + 7w + -7w Combine like terms: 8w + -7w = 1w -72 + 1w = -8 + 7w + -7w Combine like terms: 7w + -7w = 0 -72 + 1w = -8 + 0 -72 + 1w = -8 Add '72' to each side of the equation. -72 + 72 + 1w = -8 + 72 Combine like terms: -72 + 72 = 0 0 + 1w = -8 + 72 1w = -8 + 72 Combine like terms: -8 + 72 = 64 1w = 64 Divide each side by '1'. w = 64 Simplifying w = 64
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