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Simplifying -6(2b + 4) + (13b + -8) = 0 Reorder the terms: -6(4 + 2b) + (13b + -8) = 0 (4 * -6 + 2b * -6) + (13b + -8) = 0 (-24 + -12b) + (13b + -8) = 0 Reorder the terms: -24 + -12b + (-8 + 13b) = 0 Remove parenthesis around (-8 + 13b) -24 + -12b + -8 + 13b = 0 Reorder the terms: -24 + -8 + -12b + 13b = 0 Combine like terms: -24 + -8 = -32 -32 + -12b + 13b = 0 Combine like terms: -12b + 13b = 1b -32 + 1b = 0 Solving -32 + 1b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + 1b = 0 + 32 Combine like terms: -32 + 32 = 0 0 + 1b = 0 + 32 1b = 0 + 32 Combine like terms: 0 + 32 = 32 1b = 32 Divide each side by '1'. b = 32 Simplifying b = 32
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