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Simplifying 41 = 48 + -8(-3 + -2w) 41 = 48 + (-3 * -8 + -2w * -8) 41 = 48 + (24 + 16w) Combine like terms: 48 + 24 = 72 41 = 72 + 16w Solving 41 = 72 + 16w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-16w' to each side of the equation. 41 + -16w = 72 + 16w + -16w Combine like terms: 16w + -16w = 0 41 + -16w = 72 + 0 41 + -16w = 72 Add '-41' to each side of the equation. 41 + -41 + -16w = 72 + -41 Combine like terms: 41 + -41 = 0 0 + -16w = 72 + -41 -16w = 72 + -41 Combine like terms: 72 + -41 = 31 -16w = 31 Divide each side by '-16'. w = -1.9375 Simplifying w = -1.9375
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