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Simplifying 8(w + -8) = 7(5 + w) Reorder the terms: 8(-8 + w) = 7(5 + w) (-8 * 8 + w * 8) = 7(5 + w) (-64 + 8w) = 7(5 + w) -64 + 8w = (5 * 7 + w * 7) -64 + 8w = (35 + 7w) Solving -64 + 8w = 35 + 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. -64 + 8w + -7w = 35 + 7w + -7w Combine like terms: 8w + -7w = 1w -64 + 1w = 35 + 7w + -7w Combine like terms: 7w + -7w = 0 -64 + 1w = 35 + 0 -64 + 1w = 35 Add '64' to each side of the equation. -64 + 64 + 1w = 35 + 64 Combine like terms: -64 + 64 = 0 0 + 1w = 35 + 64 1w = 35 + 64 Combine like terms: 35 + 64 = 99 1w = 99 Divide each side by '1'. w = 99 Simplifying w = 99
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