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Simplifying -150 = -6(8b + 1) Reorder the terms: -150 = -6(1 + 8b) -150 = (1 * -6 + 8b * -6) -150 = (-6 + -48b) Solving -150 = -6 + -48b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '48b' to each side of the equation. -150 + 48b = -6 + -48b + 48b Combine like terms: -48b + 48b = 0 -150 + 48b = -6 + 0 -150 + 48b = -6 Add '150' to each side of the equation. -150 + 150 + 48b = -6 + 150 Combine like terms: -150 + 150 = 0 0 + 48b = -6 + 150 48b = -6 + 150 Combine like terms: -6 + 150 = 144 48b = 144 Divide each side by '48'. b = 3 Simplifying b = 3
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