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Simplifying (13b + -5) + -4(3b + 2) = -6 Reorder the terms: (-5 + 13b) + -4(3b + 2) = -6 Remove parenthesis around (-5 + 13b) -5 + 13b + -4(3b + 2) = -6 Reorder the terms: -5 + 13b + -4(2 + 3b) = -6 -5 + 13b + (2 * -4 + 3b * -4) = -6 -5 + 13b + (-8 + -12b) = -6 Reorder the terms: -5 + -8 + 13b + -12b = -6 Combine like terms: -5 + -8 = -13 -13 + 13b + -12b = -6 Combine like terms: 13b + -12b = 1b -13 + 1b = -6 Solving -13 + 1b = -6 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 1b = -6 + 13 Combine like terms: -13 + 13 = 0 0 + 1b = -6 + 13 1b = -6 + 13 Combine like terms: -6 + 13 = 7 1b = 7 Divide each side by '1'. b = 7 Simplifying b = 7
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