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Simplifying 9 + -4w = 4(-1w + 5) + 5(4w + 3) Reorder the terms: 9 + -4w = 4(5 + -1w) + 5(4w + 3) 9 + -4w = (5 * 4 + -1w * 4) + 5(4w + 3) 9 + -4w = (20 + -4w) + 5(4w + 3) Reorder the terms: 9 + -4w = 20 + -4w + 5(3 + 4w) 9 + -4w = 20 + -4w + (3 * 5 + 4w * 5) 9 + -4w = 20 + -4w + (15 + 20w) Reorder the terms: 9 + -4w = 20 + 15 + -4w + 20w Combine like terms: 20 + 15 = 35 9 + -4w = 35 + -4w + 20w Combine like terms: -4w + 20w = 16w 9 + -4w = 35 + 16w Solving 9 + -4w = 35 + 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. 9 + -4w + -16w = 35 + 16w + -16w Combine like terms: -4w + -16w = -20w 9 + -20w = 35 + 16w + -16w Combine like terms: 16w + -16w = 0 9 + -20w = 35 + 0 9 + -20w = 35 Add '-9' to each side of the equation. 9 + -9 + -20w = 35 + -9 Combine like terms: 9 + -9 = 0 0 + -20w = 35 + -9 -20w = 35 + -9 Combine like terms: 35 + -9 = 26 -20w = 26 Divide each side by '-20'. w = -1.3 Simplifying w = -1.3
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