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Simplifying (13b + -5) + -3(4b + 1) = -6 Reorder the terms: (-5 + 13b) + -3(4b + 1) = -6 Remove parenthesis around (-5 + 13b) -5 + 13b + -3(4b + 1) = -6 Reorder the terms: -5 + 13b + -3(1 + 4b) = -6 -5 + 13b + (1 * -3 + 4b * -3) = -6 -5 + 13b + (-3 + -12b) = -6 Reorder the terms: -5 + -3 + 13b + -12b = -6 Combine like terms: -5 + -3 = -8 -8 + 13b + -12b = -6 Combine like terms: 13b + -12b = 1b -8 + 1b = -6 Solving -8 + 1b = -6 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 1b = -6 + 8 Combine like terms: -8 + 8 = 0 0 + 1b = -6 + 8 1b = -6 + 8 Combine like terms: -6 + 8 = 2 1b = 2 Divide each side by '1'. b = 2 Simplifying b = 2
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