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Simplifying -3(4b + 1) + (13b + -5) = 0 Reorder the terms: -3(1 + 4b) + (13b + -5) = 0 (1 * -3 + 4b * -3) + (13b + -5) = 0 (-3 + -12b) + (13b + -5) = 0 Reorder the terms: -3 + -12b + (-5 + 13b) = 0 Remove parenthesis around (-5 + 13b) -3 + -12b + -5 + 13b = 0 Reorder the terms: -3 + -5 + -12b + 13b = 0 Combine like terms: -3 + -5 = -8 -8 + -12b + 13b = 0 Combine like terms: -12b + 13b = 1b -8 + 1b = 0 Solving -8 + 1b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 1b = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 1b = 0 + 8 1b = 0 + 8 Combine like terms: 0 + 8 = 8 1b = 8 Divide each side by '1'. b = 8 Simplifying b = 8
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