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Simplifying -3(4b + 3) + (13b + -2) = 0 Reorder the terms: -3(3 + 4b) + (13b + -2) = 0 (3 * -3 + 4b * -3) + (13b + -2) = 0 (-9 + -12b) + (13b + -2) = 0 Reorder the terms: -9 + -12b + (-2 + 13b) = 0 Remove parenthesis around (-2 + 13b) -9 + -12b + -2 + 13b = 0 Reorder the terms: -9 + -2 + -12b + 13b = 0 Combine like terms: -9 + -2 = -11 -11 + -12b + 13b = 0 Combine like terms: -12b + 13b = 1b -11 + 1b = 0 Solving -11 + 1b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 1b = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 1b = 0 + 11 1b = 0 + 11 Combine like terms: 0 + 11 = 11 1b = 11 Divide each side by '1'. b = 11 Simplifying b = 11
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