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Simplifying -4(3b + 1) + (13b + -4) = 0 Reorder the terms: -4(1 + 3b) + (13b + -4) = 0 (1 * -4 + 3b * -4) + (13b + -4) = 0 (-4 + -12b) + (13b + -4) = 0 Reorder the terms: -4 + -12b + (-4 + 13b) = 0 Remove parenthesis around (-4 + 13b) -4 + -12b + -4 + 13b = 0 Reorder the terms: -4 + -4 + -12b + 13b = 0 Combine like terms: -4 + -4 = -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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