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Simplifying (13b + -5) + -4(3b + 4) = -6 Reorder the terms: (-5 + 13b) + -4(3b + 4) = -6 Remove parenthesis around (-5 + 13b) -5 + 13b + -4(3b + 4) = -6 Reorder the terms: -5 + 13b + -4(4 + 3b) = -6 -5 + 13b + (4 * -4 + 3b * -4) = -6 -5 + 13b + (-16 + -12b) = -6 Reorder the terms: -5 + -16 + 13b + -12b = -6 Combine like terms: -5 + -16 = -21 -21 + 13b + -12b = -6 Combine like terms: 13b + -12b = 1b -21 + 1b = -6 Solving -21 + 1b = -6 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 = -6 + 21 Combine like terms: -21 + 21 = 0 0 + 1b = -6 + 21 1b = -6 + 21 Combine like terms: -6 + 21 = 15 1b = 15 Divide each side by '1'. b = 15 Simplifying b = 15
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