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Simplifying 4(w + -5) + -1 = -5(-5w + 1) + -9w Reorder the terms: 4(-5 + w) + -1 = -5(-5w + 1) + -9w (-5 * 4 + w * 4) + -1 = -5(-5w + 1) + -9w (-20 + 4w) + -1 = -5(-5w + 1) + -9w Reorder the terms: -20 + -1 + 4w = -5(-5w + 1) + -9w Combine like terms: -20 + -1 = -21 -21 + 4w = -5(-5w + 1) + -9w Reorder the terms: -21 + 4w = -5(1 + -5w) + -9w -21 + 4w = (1 * -5 + -5w * -5) + -9w -21 + 4w = (-5 + 25w) + -9w Combine like terms: 25w + -9w = 16w -21 + 4w = -5 + 16w Solving -21 + 4w = -5 + 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. -21 + 4w + -16w = -5 + 16w + -16w Combine like terms: 4w + -16w = -12w -21 + -12w = -5 + 16w + -16w Combine like terms: 16w + -16w = 0 -21 + -12w = -5 + 0 -21 + -12w = -5 Add '21' to each side of the equation. -21 + 21 + -12w = -5 + 21 Combine like terms: -21 + 21 = 0 0 + -12w = -5 + 21 -12w = -5 + 21 Combine like terms: -5 + 21 = 16 -12w = 16 Divide each side by '-12'. w = -1.333333333 Simplifying w = -1.333333333
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