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Simplifying (13b + -7) + -3(4b + 3) = -4 Reorder the terms: (-7 + 13b) + -3(4b + 3) = -4 Remove parenthesis around (-7 + 13b) -7 + 13b + -3(4b + 3) = -4 Reorder the terms: -7 + 13b + -3(3 + 4b) = -4 -7 + 13b + (3 * -3 + 4b * -3) = -4 -7 + 13b + (-9 + -12b) = -4 Reorder the terms: -7 + -9 + 13b + -12b = -4 Combine like terms: -7 + -9 = -16 -16 + 13b + -12b = -4 Combine like terms: 13b + -12b = 1b -16 + 1b = -4 Solving -16 + 1b = -4 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 1b = -4 + 16 Combine like terms: -16 + 16 = 0 0 + 1b = -4 + 16 1b = -4 + 16 Combine like terms: -4 + 16 = 12 1b = 12 Divide each side by '1'. b = 12 Simplifying b = 12
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