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Simplifying 8w + 24 = 24(w + 3) Reorder the terms: 24 + 8w = 24(w + 3) Reorder the terms: 24 + 8w = 24(3 + w) 24 + 8w = (3 * 24 + w * 24) 24 + 8w = (72 + 24w) Solving 24 + 8w = 72 + 24w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-24w' to each side of the equation. 24 + 8w + -24w = 72 + 24w + -24w Combine like terms: 8w + -24w = -16w 24 + -16w = 72 + 24w + -24w Combine like terms: 24w + -24w = 0 24 + -16w = 72 + 0 24 + -16w = 72 Add '-24' to each side of the equation. 24 + -24 + -16w = 72 + -24 Combine like terms: 24 + -24 = 0 0 + -16w = 72 + -24 -16w = 72 + -24 Combine like terms: 72 + -24 = 48 -16w = 48 Divide each side by '-16'. w = -3 Simplifying w = -3
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