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Simplifying (13b + -1) + -3(4b + 3) = -3 Reorder the terms: (-1 + 13b) + -3(4b + 3) = -3 Remove parenthesis around (-1 + 13b) -1 + 13b + -3(4b + 3) = -3 Reorder the terms: -1 + 13b + -3(3 + 4b) = -3 -1 + 13b + (3 * -3 + 4b * -3) = -3 -1 + 13b + (-9 + -12b) = -3 Reorder the terms: -1 + -9 + 13b + -12b = -3 Combine like terms: -1 + -9 = -10 -10 + 13b + -12b = -3 Combine like terms: 13b + -12b = 1b -10 + 1b = -3 Solving -10 + 1b = -3 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 1b = -3 + 10 Combine like terms: -10 + 10 = 0 0 + 1b = -3 + 10 1b = -3 + 10 Combine like terms: -3 + 10 = 7 1b = 7 Divide each side by '1'. b = 7 Simplifying b = 7
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