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Simplifying 8 = 2(1 + 3b) 8 = (1 * 2 + 3b * 2) 8 = (2 + 6b) Solving 8 = 2 + 6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6b' to each side of the equation. 8 + -6b = 2 + 6b + -6b Combine like terms: 6b + -6b = 0 8 + -6b = 2 + 0 8 + -6b = 2 Add '-8' to each side of the equation. 8 + -8 + -6b = 2 + -8 Combine like terms: 8 + -8 = 0 0 + -6b = 2 + -8 -6b = 2 + -8 Combine like terms: 2 + -8 = -6 -6b = -6 Divide each side by '-6'. b = 1 Simplifying b = 1
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