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Simplifying 2 + -3(b + -2) = 8(1 + 6b) Reorder the terms: 2 + -3(-2 + b) = 8(1 + 6b) 2 + (-2 * -3 + b * -3) = 8(1 + 6b) 2 + (6 + -3b) = 8(1 + 6b) Combine like terms: 2 + 6 = 8 8 + -3b = 8(1 + 6b) 8 + -3b = (1 * 8 + 6b * 8) 8 + -3b = (8 + 48b) Add '-8' to each side of the equation. 8 + -8 + -3b = 8 + -8 + 48b Combine like terms: 8 + -8 = 0 0 + -3b = 8 + -8 + 48b -3b = 8 + -8 + 48b Combine like terms: 8 + -8 = 0 -3b = 0 + 48b -3b = 48b Solving -3b = 48b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-48b' to each side of the equation. -3b + -48b = 48b + -48b Combine like terms: -3b + -48b = -51b -51b = 48b + -48b Combine like terms: 48b + -48b = 0 -51b = 0 Divide each side by '-51'. b = 0 Simplifying b = 0
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