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Simplifying (9b + -7) + -4(2b + 3) = -2 Reorder the terms: (-7 + 9b) + -4(2b + 3) = -2 Remove parenthesis around (-7 + 9b) -7 + 9b + -4(2b + 3) = -2 Reorder the terms: -7 + 9b + -4(3 + 2b) = -2 -7 + 9b + (3 * -4 + 2b * -4) = -2 -7 + 9b + (-12 + -8b) = -2 Reorder the terms: -7 + -12 + 9b + -8b = -2 Combine like terms: -7 + -12 = -19 -19 + 9b + -8b = -2 Combine like terms: 9b + -8b = 1b -19 + 1b = -2 Solving -19 + 1b = -2 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 1b = -2 + 19 Combine like terms: -19 + 19 = 0 0 + 1b = -2 + 19 1b = -2 + 19 Combine like terms: -2 + 19 = 17 1b = 17 Divide each side by '1'. b = 17 Simplifying b = 17
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