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Simplifying 38 = 13 + -4(-4 + -4w) 38 = 13 + (-4 * -4 + -4w * -4) 38 = 13 + (16 + 16w) Combine like terms: 13 + 16 = 29 38 = 29 + 16w Solving 38 = 29 + 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. 38 + -16w = 29 + 16w + -16w Combine like terms: 16w + -16w = 0 38 + -16w = 29 + 0 38 + -16w = 29 Add '-38' to each side of the equation. 38 + -38 + -16w = 29 + -38 Combine like terms: 38 + -38 = 0 0 + -16w = 29 + -38 -16w = 29 + -38 Combine like terms: 29 + -38 = -9 -16w = -9 Divide each side by '-16'. w = 0.5625 Simplifying w = 0.5625
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