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Simplifying 17 + 11b = -5(-4b + 20) Reorder the terms: 17 + 11b = -5(20 + -4b) 17 + 11b = (20 * -5 + -4b * -5) 17 + 11b = (-100 + 20b) Solving 17 + 11b = -100 + 20b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-20b' to each side of the equation. 17 + 11b + -20b = -100 + 20b + -20b Combine like terms: 11b + -20b = -9b 17 + -9b = -100 + 20b + -20b Combine like terms: 20b + -20b = 0 17 + -9b = -100 + 0 17 + -9b = -100 Add '-17' to each side of the equation. 17 + -17 + -9b = -100 + -17 Combine like terms: 17 + -17 = 0 0 + -9b = -100 + -17 -9b = -100 + -17 Combine like terms: -100 + -17 = -117 -9b = -117 Divide each side by '-9'. b = 13 Simplifying b = 13
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