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Simplifying (13b + -7) + -6(2b + 1) = -6 Reorder the terms: (-7 + 13b) + -6(2b + 1) = -6 Remove parenthesis around (-7 + 13b) -7 + 13b + -6(2b + 1) = -6 Reorder the terms: -7 + 13b + -6(1 + 2b) = -6 -7 + 13b + (1 * -6 + 2b * -6) = -6 -7 + 13b + (-6 + -12b) = -6 Reorder the terms: -7 + -6 + 13b + -12b = -6 Combine like terms: -7 + -6 = -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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