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Simplifying -3(3b + 1) + (10b + -9) = 0 Reorder the terms: -3(1 + 3b) + (10b + -9) = 0 (1 * -3 + 3b * -3) + (10b + -9) = 0 (-3 + -9b) + (10b + -9) = 0 Reorder the terms: -3 + -9b + (-9 + 10b) = 0 Remove parenthesis around (-9 + 10b) -3 + -9b + -9 + 10b = 0 Reorder the terms: -3 + -9 + -9b + 10b = 0 Combine like terms: -3 + -9 = -12 -12 + -9b + 10b = 0 Combine like terms: -9b + 10b = 1b -12 + 1b = 0 Solving -12 + 1b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 1b = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 1b = 0 + 12 1b = 0 + 12 Combine like terms: 0 + 12 = 12 1b = 12 Divide each side by '1'. b = 12 Simplifying b = 12
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