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Simplifying -6(2b + 4) + (13b + -9) = 0 Reorder the terms: -6(4 + 2b) + (13b + -9) = 0 (4 * -6 + 2b * -6) + (13b + -9) = 0 (-24 + -12b) + (13b + -9) = 0 Reorder the terms: -24 + -12b + (-9 + 13b) = 0 Remove parenthesis around (-9 + 13b) -24 + -12b + -9 + 13b = 0 Reorder the terms: -24 + -9 + -12b + 13b = 0 Combine like terms: -24 + -9 = -33 -33 + -12b + 13b = 0 Combine like terms: -12b + 13b = 1b -33 + 1b = 0 Solving -33 + 1b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '33' to each side of the equation. -33 + 33 + 1b = 0 + 33 Combine like terms: -33 + 33 = 0 0 + 1b = 0 + 33 1b = 0 + 33 Combine like terms: 0 + 33 = 33 1b = 33 Divide each side by '1'. b = 33 Simplifying b = 33
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