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Simplifying -4(3b + 4) + (13b + -5) = 0 Reorder the terms: -4(4 + 3b) + (13b + -5) = 0 (4 * -4 + 3b * -4) + (13b + -5) = 0 (-16 + -12b) + (13b + -5) = 0 Reorder the terms: -16 + -12b + (-5 + 13b) = 0 Remove parenthesis around (-5 + 13b) -16 + -12b + -5 + 13b = 0 Reorder the terms: -16 + -5 + -12b + 13b = 0 Combine like terms: -16 + -5 = -21 -21 + -12b + 13b = 0 Combine like terms: -12b + 13b = 1b -21 + 1b = 0 Solving -21 + 1b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 1b = 0 + 21 Combine like terms: -21 + 21 = 0 0 + 1b = 0 + 21 1b = 0 + 21 Combine like terms: 0 + 21 = 21 1b = 21 Divide each side by '1'. b = 21 Simplifying b = 21
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