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Simplifying (13b + -5) + -3(4b + 3) = -5 Reorder the terms: (-5 + 13b) + -3(4b + 3) = -5 Remove parenthesis around (-5 + 13b) -5 + 13b + -3(4b + 3) = -5 Reorder the terms: -5 + 13b + -3(3 + 4b) = -5 -5 + 13b + (3 * -3 + 4b * -3) = -5 -5 + 13b + (-9 + -12b) = -5 Reorder the terms: -5 + -9 + 13b + -12b = -5 Combine like terms: -5 + -9 = -14 -14 + 13b + -12b = -5 Combine like terms: 13b + -12b = 1b -14 + 1b = -5 Solving -14 + 1b = -5 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 1b = -5 + 14 Combine like terms: -14 + 14 = 0 0 + 1b = -5 + 14 1b = -5 + 14 Combine like terms: -5 + 14 = 9 1b = 9 Divide each side by '1'. b = 9 Simplifying b = 9
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