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Simplifying (13b + -7) + -6(2b + 4) = -5 Reorder the terms: (-7 + 13b) + -6(2b + 4) = -5 Remove parenthesis around (-7 + 13b) -7 + 13b + -6(2b + 4) = -5 Reorder the terms: -7 + 13b + -6(4 + 2b) = -5 -7 + 13b + (4 * -6 + 2b * -6) = -5 -7 + 13b + (-24 + -12b) = -5 Reorder the terms: -7 + -24 + 13b + -12b = -5 Combine like terms: -7 + -24 = -31 -31 + 13b + -12b = -5 Combine like terms: 13b + -12b = 1b -31 + 1b = -5 Solving -31 + 1b = -5 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + 1b = -5 + 31 Combine like terms: -31 + 31 = 0 0 + 1b = -5 + 31 1b = -5 + 31 Combine like terms: -5 + 31 = 26 1b = 26 Divide each side by '1'. b = 26 Simplifying b = 26
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