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Simplifying (13b + -9) + -6(2b + 1) = -2 Reorder the terms: (-9 + 13b) + -6(2b + 1) = -2 Remove parenthesis around (-9 + 13b) -9 + 13b + -6(2b + 1) = -2 Reorder the terms: -9 + 13b + -6(1 + 2b) = -2 -9 + 13b + (1 * -6 + 2b * -6) = -2 -9 + 13b + (-6 + -12b) = -2 Reorder the terms: -9 + -6 + 13b + -12b = -2 Combine like terms: -9 + -6 = -15 -15 + 13b + -12b = -2 Combine like terms: 13b + -12b = 1b -15 + 1b = -2 Solving -15 + 1b = -2 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 1b = -2 + 15 Combine like terms: -15 + 15 = 0 0 + 1b = -2 + 15 1b = -2 + 15 Combine like terms: -2 + 15 = 13 1b = 13 Divide each side by '1'. b = 13 Simplifying b = 13
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