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Simplifying (13b + -9) + -3(4b + 4) = -7 Reorder the terms: (-9 + 13b) + -3(4b + 4) = -7 Remove parenthesis around (-9 + 13b) -9 + 13b + -3(4b + 4) = -7 Reorder the terms: -9 + 13b + -3(4 + 4b) = -7 -9 + 13b + (4 * -3 + 4b * -3) = -7 -9 + 13b + (-12 + -12b) = -7 Reorder the terms: -9 + -12 + 13b + -12b = -7 Combine like terms: -9 + -12 = -21 -21 + 13b + -12b = -7 Combine like terms: 13b + -12b = 1b -21 + 1b = -7 Solving -21 + 1b = -7 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 = -7 + 21 Combine like terms: -21 + 21 = 0 0 + 1b = -7 + 21 1b = -7 + 21 Combine like terms: -7 + 21 = 14 1b = 14 Divide each side by '1'. b = 14 Simplifying b = 14
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