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Simplifying -6(8b + 1) = 39 + -3b Reorder the terms: -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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