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Simplifying (13b + -6) + -3(4b + 3) = -3 Reorder the terms: (-6 + 13b) + -3(4b + 3) = -3 Remove parenthesis around (-6 + 13b) -6 + 13b + -3(4b + 3) = -3 Reorder the terms: -6 + 13b + -3(3 + 4b) = -3 -6 + 13b + (3 * -3 + 4b * -3) = -3 -6 + 13b + (-9 + -12b) = -3 Reorder the terms: -6 + -9 + 13b + -12b = -3 Combine like terms: -6 + -9 = -15 -15 + 13b + -12b = -3 Combine like terms: 13b + -12b = 1b -15 + 1b = -3 Solving -15 + 1b = -3 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 1b = -3 + 15 Combine like terms: -15 + 15 = 0 0 + 1b = -3 + 15 1b = -3 + 15 Combine like terms: -3 + 15 = 12 1b = 12 Divide each side by '1'. b = 12 Simplifying b = 12
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