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Simplifying -8(w + -8) = 8w + 48 Reorder the terms: -8(-8 + w) = 8w + 48 (-8 * -8 + w * -8) = 8w + 48 (64 + -8w) = 8w + 48 Reorder the terms: 64 + -8w = 48 + 8w Solving 64 + -8w = 48 + 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. 64 + -8w + -8w = 48 + 8w + -8w Combine like terms: -8w + -8w = -16w 64 + -16w = 48 + 8w + -8w Combine like terms: 8w + -8w = 0 64 + -16w = 48 + 0 64 + -16w = 48 Add '-64' to each side of the equation. 64 + -64 + -16w = 48 + -64 Combine like terms: 64 + -64 = 0 0 + -16w = 48 + -64 -16w = 48 + -64 Combine like terms: 48 + -64 = -16 -16w = -16 Divide each side by '-16'. w = 1 Simplifying w = 1
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