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Simplifying 6(1 + -8b) = -39 + -3b (1 * 6 + -8b * 6) = -39 + -3b (6 + -48b) = -39 + -3b Solving 6 + -48b = -39 + -3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '3b' to each side of the equation. 6 + -48b + 3b = -39 + -3b + 3b Combine like terms: -48b + 3b = -45b 6 + -45b = -39 + -3b + 3b Combine like terms: -3b + 3b = 0 6 + -45b = -39 + 0 6 + -45b = -39 Add '-6' to each side of the equation. 6 + -6 + -45b = -39 + -6 Combine like terms: 6 + -6 = 0 0 + -45b = -39 + -6 -45b = -39 + -6 Combine like terms: -39 + -6 = -45 -45b = -45 Divide each side by '-45'. b = 1 Simplifying b = 1
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