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Simplifying 3b + -8 = 10 + 4(1 + -2b) Reorder the terms: -8 + 3b = 10 + 4(1 + -2b) -8 + 3b = 10 + (1 * 4 + -2b * 4) -8 + 3b = 10 + (4 + -8b) Combine like terms: 10 + 4 = 14 -8 + 3b = 14 + -8b Solving -8 + 3b = 14 + -8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '8b' to each side of the equation. -8 + 3b + 8b = 14 + -8b + 8b Combine like terms: 3b + 8b = 11b -8 + 11b = 14 + -8b + 8b Combine like terms: -8b + 8b = 0 -8 + 11b = 14 + 0 -8 + 11b = 14 Add '8' to each side of the equation. -8 + 8 + 11b = 14 + 8 Combine like terms: -8 + 8 = 0 0 + 11b = 14 + 8 11b = 14 + 8 Combine like terms: 14 + 8 = 22 11b = 22 Divide each side by '11'. b = 2 Simplifying b = 2
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