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Simplifying (13b + -9) + -4(3b + 2) = -6 Reorder the terms: (-9 + 13b) + -4(3b + 2) = -6 Remove parenthesis around (-9 + 13b) -9 + 13b + -4(3b + 2) = -6 Reorder the terms: -9 + 13b + -4(2 + 3b) = -6 -9 + 13b + (2 * -4 + 3b * -4) = -6 -9 + 13b + (-8 + -12b) = -6 Reorder the terms: -9 + -8 + 13b + -12b = -6 Combine like terms: -9 + -8 = -17 -17 + 13b + -12b = -6 Combine like terms: 13b + -12b = 1b -17 + 1b = -6 Solving -17 + 1b = -6 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 1b = -6 + 17 Combine like terms: -17 + 17 = 0 0 + 1b = -6 + 17 1b = -6 + 17 Combine like terms: -6 + 17 = 11 1b = 11 Divide each side by '1'. b = 11 Simplifying b = 11
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