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Simplifying -4(1 + -2b) = 38 + -6b (1 * -4 + -2b * -4) = 38 + -6b (-4 + 8b) = 38 + -6b Solving -4 + 8b = 38 + -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. -4 + 8b + 6b = 38 + -6b + 6b Combine like terms: 8b + 6b = 14b -4 + 14b = 38 + -6b + 6b Combine like terms: -6b + 6b = 0 -4 + 14b = 38 + 0 -4 + 14b = 38 Add '4' to each side of the equation. -4 + 4 + 14b = 38 + 4 Combine like terms: -4 + 4 = 0 0 + 14b = 38 + 4 14b = 38 + 4 Combine like terms: 38 + 4 = 42 14b = 42 Divide each side by '14'. b = 3 Simplifying b = 3
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