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Simplifying (9b + -4) + -4(2b + 3) = -7 Reorder the terms: (-4 + 9b) + -4(2b + 3) = -7 Remove parenthesis around (-4 + 9b) -4 + 9b + -4(2b + 3) = -7 Reorder the terms: -4 + 9b + -4(3 + 2b) = -7 -4 + 9b + (3 * -4 + 2b * -4) = -7 -4 + 9b + (-12 + -8b) = -7 Reorder the terms: -4 + -12 + 9b + -8b = -7 Combine like terms: -4 + -12 = -16 -16 + 9b + -8b = -7 Combine like terms: 9b + -8b = 1b -16 + 1b = -7 Solving -16 + 1b = -7 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 1b = -7 + 16 Combine like terms: -16 + 16 = 0 0 + 1b = -7 + 16 1b = -7 + 16 Combine like terms: -7 + 16 = 9 1b = 9 Divide each side by '1'. b = 9 Simplifying b = 9
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