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Simplifying (13b + -9) + -4(3b + 4) = -7 Reorder the terms: (-9 + 13b) + -4(3b + 4) = -7 Remove parenthesis around (-9 + 13b) -9 + 13b + -4(3b + 4) = -7 Reorder the terms: -9 + 13b + -4(4 + 3b) = -7 -9 + 13b + (4 * -4 + 3b * -4) = -7 -9 + 13b + (-16 + -12b) = -7 Reorder the terms: -9 + -16 + 13b + -12b = -7 Combine like terms: -9 + -16 = -25 -25 + 13b + -12b = -7 Combine like terms: 13b + -12b = 1b -25 + 1b = -7 Solving -25 + 1b = -7 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + 1b = -7 + 25 Combine like terms: -25 + 25 = 0 0 + 1b = -7 + 25 1b = -7 + 25 Combine like terms: -7 + 25 = 18 1b = 18 Divide each side by '1'. b = 18 Simplifying b = 18
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