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Simplifying (13b + -7) + -4(3b + 1) = -2 Reorder the terms: (-7 + 13b) + -4(3b + 1) = -2 Remove parenthesis around (-7 + 13b) -7 + 13b + -4(3b + 1) = -2 Reorder the terms: -7 + 13b + -4(1 + 3b) = -2 -7 + 13b + (1 * -4 + 3b * -4) = -2 -7 + 13b + (-4 + -12b) = -2 Reorder the terms: -7 + -4 + 13b + -12b = -2 Combine like terms: -7 + -4 = -11 -11 + 13b + -12b = -2 Combine like terms: 13b + -12b = 1b -11 + 1b = -2 Solving -11 + 1b = -2 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 1b = -2 + 11 Combine like terms: -11 + 11 = 0 0 + 1b = -2 + 11 1b = -2 + 11 Combine like terms: -2 + 11 = 9 1b = 9 Divide each side by '1'. b = 9 Simplifying b = 9
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