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Simplifying -8(w + -6) + -8(w + 3) = 0 Reorder the terms: -8(-6 + w) + -8(w + 3) = 0 (-6 * -8 + w * -8) + -8(w + 3) = 0 (48 + -8w) + -8(w + 3) = 0 Reorder the terms: 48 + -8w + -8(3 + w) = 0 48 + -8w + (3 * -8 + w * -8) = 0 48 + -8w + (-24 + -8w) = 0 Reorder the terms: 48 + -24 + -8w + -8w = 0 Combine like terms: 48 + -24 = 24 24 + -8w + -8w = 0 Combine like terms: -8w + -8w = -16w 24 + -16w = 0 Solving 24 + -16w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -16w = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -16w = 0 + -24 -16w = 0 + -24 Combine like terms: 0 + -24 = -24 -16w = -24 Divide each side by '-16'. w = 1.5 Simplifying w = 1.5
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