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Simplifying 6b + 8(1 + -6b) = 8 + 4b 6b + (1 * 8 + -6b * 8) = 8 + 4b 6b + (8 + -48b) = 8 + 4b Reorder the terms: 8 + 6b + -48b = 8 + 4b Combine like terms: 6b + -48b = -42b 8 + -42b = 8 + 4b Add '-8' to each side of the equation. 8 + -8 + -42b = 8 + -8 + 4b Combine like terms: 8 + -8 = 0 0 + -42b = 8 + -8 + 4b -42b = 8 + -8 + 4b Combine like terms: 8 + -8 = 0 -42b = 0 + 4b -42b = 4b Solving -42b = 4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4b' to each side of the equation. -42b + -4b = 4b + -4b Combine like terms: -42b + -4b = -46b -46b = 4b + -4b Combine like terms: 4b + -4b = 0 -46b = 0 Divide each side by '-46'. b = 0 Simplifying b = 0
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