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Simplifying w + -57w + 13 = -16(w + -57) Reorder the terms: 13 + w + -57w = -16(w + -57) Combine like terms: w + -57w = -56w 13 + -56w = -16(w + -57) Reorder the terms: 13 + -56w = -16(-57 + w) 13 + -56w = (-57 * -16 + w * -16) 13 + -56w = (912 + -16w) Solving 13 + -56w = 912 + -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. 13 + -56w + 16w = 912 + -16w + 16w Combine like terms: -56w + 16w = -40w 13 + -40w = 912 + -16w + 16w Combine like terms: -16w + 16w = 0 13 + -40w = 912 + 0 13 + -40w = 912 Add '-13' to each side of the equation. 13 + -13 + -40w = 912 + -13 Combine like terms: 13 + -13 = 0 0 + -40w = 912 + -13 -40w = 912 + -13 Combine like terms: 912 + -13 = 899 -40w = 899 Divide each side by '-40'. w = -22.475 Simplifying w = -22.475
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