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Simplifying 8 + 3b = 2(9 + -1b) 8 + 3b = (9 * 2 + -1b * 2) 8 + 3b = (18 + -2b) Solving 8 + 3b = 18 + -2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '2b' to each side of the equation. 8 + 3b + 2b = 18 + -2b + 2b Combine like terms: 3b + 2b = 5b 8 + 5b = 18 + -2b + 2b Combine like terms: -2b + 2b = 0 8 + 5b = 18 + 0 8 + 5b = 18 Add '-8' to each side of the equation. 8 + -8 + 5b = 18 + -8 Combine like terms: 8 + -8 = 0 0 + 5b = 18 + -8 5b = 18 + -8 Combine like terms: 18 + -8 = 10 5b = 10 Divide each side by '5'. b = 2 Simplifying b = 2
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