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Simplifying (13b + -5) + -4(3b + 1) = -2 Reorder the terms: (-5 + 13b) + -4(3b + 1) = -2 Remove parenthesis around (-5 + 13b) -5 + 13b + -4(3b + 1) = -2 Reorder the terms: -5 + 13b + -4(1 + 3b) = -2 -5 + 13b + (1 * -4 + 3b * -4) = -2 -5 + 13b + (-4 + -12b) = -2 Reorder the terms: -5 + -4 + 13b + -12b = -2 Combine like terms: -5 + -4 = -9 -9 + 13b + -12b = -2 Combine like terms: 13b + -12b = 1b -9 + 1b = -2 Solving -9 + 1b = -2 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 1b = -2 + 9 Combine like terms: -9 + 9 = 0 0 + 1b = -2 + 9 1b = -2 + 9 Combine like terms: -2 + 9 = 7 1b = 7 Divide each side by '1'. b = 7 Simplifying b = 7
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