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Simplifying (13b + -1) + -6(2b + 3) = -6 Reorder the terms: (-1 + 13b) + -6(2b + 3) = -6 Remove parenthesis around (-1 + 13b) -1 + 13b + -6(2b + 3) = -6 Reorder the terms: -1 + 13b + -6(3 + 2b) = -6 -1 + 13b + (3 * -6 + 2b * -6) = -6 -1 + 13b + (-18 + -12b) = -6 Reorder the terms: -1 + -18 + 13b + -12b = -6 Combine like terms: -1 + -18 = -19 -19 + 13b + -12b = -6 Combine like terms: 13b + -12b = 1b -19 + 1b = -6 Solving -19 + 1b = -6 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 1b = -6 + 19 Combine like terms: -19 + 19 = 0 0 + 1b = -6 + 19 1b = -6 + 19 Combine like terms: -6 + 19 = 13 1b = 13 Divide each side by '1'. b = 13 Simplifying b = 13
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