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Simplifying (8 + -1b)(-3) + 6b = 12 + -10b Reorder the terms for easier multiplication: -3(8 + -1b) + 6b = 12 + -10b (8 * -3 + -1b * -3) + 6b = 12 + -10b (-24 + 3b) + 6b = 12 + -10b Combine like terms: 3b + 6b = 9b -24 + 9b = 12 + -10b Solving -24 + 9b = 12 + -10b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '10b' to each side of the equation. -24 + 9b + 10b = 12 + -10b + 10b Combine like terms: 9b + 10b = 19b -24 + 19b = 12 + -10b + 10b Combine like terms: -10b + 10b = 0 -24 + 19b = 12 + 0 -24 + 19b = 12 Add '24' to each side of the equation. -24 + 24 + 19b = 12 + 24 Combine like terms: -24 + 24 = 0 0 + 19b = 12 + 24 19b = 12 + 24 Combine like terms: 12 + 24 = 36 19b = 36 Divide each side by '19'. b = 1.894736842 Simplifying b = 1.894736842
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