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Simplifying (13b + -5) + -6(2b + 2) = -5 Reorder the terms: (-5 + 13b) + -6(2b + 2) = -5 Remove parenthesis around (-5 + 13b) -5 + 13b + -6(2b + 2) = -5 Reorder the terms: -5 + 13b + -6(2 + 2b) = -5 -5 + 13b + (2 * -6 + 2b * -6) = -5 -5 + 13b + (-12 + -12b) = -5 Reorder the terms: -5 + -12 + 13b + -12b = -5 Combine like terms: -5 + -12 = -17 -17 + 13b + -12b = -5 Combine like terms: 13b + -12b = 1b -17 + 1b = -5 Solving -17 + 1b = -5 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 1b = -5 + 17 Combine like terms: -17 + 17 = 0 0 + 1b = -5 + 17 1b = -5 + 17 Combine like terms: -5 + 17 = 12 1b = 12 Divide each side by '1'. b = 12 Simplifying b = 12
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