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Simplifying (13b + -9) + -3(4b + 3) = -6 Reorder the terms: (-9 + 13b) + -3(4b + 3) = -6 Remove parenthesis around (-9 + 13b) -9 + 13b + -3(4b + 3) = -6 Reorder the terms: -9 + 13b + -3(3 + 4b) = -6 -9 + 13b + (3 * -3 + 4b * -3) = -6 -9 + 13b + (-9 + -12b) = -6 Reorder the terms: -9 + -9 + 13b + -12b = -6 Combine like terms: -9 + -9 = -18 -18 + 13b + -12b = -6 Combine like terms: 13b + -12b = 1b -18 + 1b = -6 Solving -18 + 1b = -6 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 = -6 + 18 Combine like terms: -18 + 18 = 0 0 + 1b = -6 + 18 1b = -6 + 18 Combine like terms: -6 + 18 = 12 1b = 12 Divide each side by '1'. b = 12 Simplifying b = 12
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