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Simplifying 4 + -1(9w + -20) + 4w = 12(w + 5) + 13 Reorder the terms: 4 + -1(-20 + 9w) + 4w = 12(w + 5) + 13 4 + (-20 * -1 + 9w * -1) + 4w = 12(w + 5) + 13 4 + (20 + -9w) + 4w = 12(w + 5) + 13 Combine like terms: 4 + 20 = 24 24 + -9w + 4w = 12(w + 5) + 13 Combine like terms: -9w + 4w = -5w 24 + -5w = 12(w + 5) + 13 Reorder the terms: 24 + -5w = 12(5 + w) + 13 24 + -5w = (5 * 12 + w * 12) + 13 24 + -5w = (60 + 12w) + 13 Reorder the terms: 24 + -5w = 60 + 13 + 12w Combine like terms: 60 + 13 = 73 24 + -5w = 73 + 12w Solving 24 + -5w = 73 + 12w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12w' to each side of the equation. 24 + -5w + -12w = 73 + 12w + -12w Combine like terms: -5w + -12w = -17w 24 + -17w = 73 + 12w + -12w Combine like terms: 12w + -12w = 0 24 + -17w = 73 + 0 24 + -17w = 73 Add '-24' to each side of the equation. 24 + -24 + -17w = 73 + -24 Combine like terms: 24 + -24 = 0 0 + -17w = 73 + -24 -17w = 73 + -24 Combine like terms: 73 + -24 = 49 -17w = 49 Divide each side by '-17'. w = -2.882352941 Simplifying w = -2.882352941
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