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Simplifying -3(4b + 3) + (13b + -9) = 0 Reorder the terms: -3(3 + 4b) + (13b + -9) = 0 (3 * -3 + 4b * -3) + (13b + -9) = 0 (-9 + -12b) + (13b + -9) = 0 Reorder the terms: -9 + -12b + (-9 + 13b) = 0 Remove parenthesis around (-9 + 13b) -9 + -12b + -9 + 13b = 0 Reorder the terms: -9 + -9 + -12b + 13b = 0 Combine like terms: -9 + -9 = -18 -18 + -12b + 13b = 0 Combine like terms: -12b + 13b = 1b -18 + 1b = 0 Solving -18 + 1b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 1b = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 1b = 0 + 18 1b = 0 + 18 Combine like terms: 0 + 18 = 18 1b = 18 Divide each side by '1'. b = 18 Simplifying b = 18
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