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Simplifying (9b + -9) + -2(4b + 3) = -7 Reorder the terms: (-9 + 9b) + -2(4b + 3) = -7 Remove parenthesis around (-9 + 9b) -9 + 9b + -2(4b + 3) = -7 Reorder the terms: -9 + 9b + -2(3 + 4b) = -7 -9 + 9b + (3 * -2 + 4b * -2) = -7 -9 + 9b + (-6 + -8b) = -7 Reorder the terms: -9 + -6 + 9b + -8b = -7 Combine like terms: -9 + -6 = -15 -15 + 9b + -8b = -7 Combine like terms: 9b + -8b = 1b -15 + 1b = -7 Solving -15 + 1b = -7 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 1b = -7 + 15 Combine like terms: -15 + 15 = 0 0 + 1b = -7 + 15 1b = -7 + 15 Combine like terms: -7 + 15 = 8 1b = 8 Divide each side by '1'. b = 8 Simplifying b = 8
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