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Simplifying (13b + -3) + -3(4b + -2) = -4 Reorder the terms: (-3 + 13b) + -3(4b + -2) = -4 Remove parenthesis around (-3 + 13b) -3 + 13b + -3(4b + -2) = -4 Reorder the terms: -3 + 13b + -3(-2 + 4b) = -4 -3 + 13b + (-2 * -3 + 4b * -3) = -4 -3 + 13b + (6 + -12b) = -4 Reorder the terms: -3 + 6 + 13b + -12b = -4 Combine like terms: -3 + 6 = 3 3 + 13b + -12b = -4 Combine like terms: 13b + -12b = 1b 3 + 1b = -4 Solving 3 + 1b = -4 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 1b = -4 + -3 Combine like terms: 3 + -3 = 0 0 + 1b = -4 + -3 1b = -4 + -3 Combine like terms: -4 + -3 = -7 1b = -7 Divide each side by '1'. b = -7 Simplifying b = -7
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