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Simplifying 17 + 2b = 5(4 + 7b) 17 + 2b = (4 * 5 + 7b * 5) 17 + 2b = (20 + 35b) Solving 17 + 2b = 20 + 35b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-35b' to each side of the equation. 17 + 2b + -35b = 20 + 35b + -35b Combine like terms: 2b + -35b = -33b 17 + -33b = 20 + 35b + -35b Combine like terms: 35b + -35b = 0 17 + -33b = 20 + 0 17 + -33b = 20 Add '-17' to each side of the equation. 17 + -17 + -33b = 20 + -17 Combine like terms: 17 + -17 = 0 0 + -33b = 20 + -17 -33b = 20 + -17 Combine like terms: 20 + -17 = 3 -33b = 3 Divide each side by '-33'. b = -0.09090909091 Simplifying b = -0.09090909091
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