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Simplifying (7b + -9) + -3(2b + 3) = -2 Reorder the terms: (-9 + 7b) + -3(2b + 3) = -2 Remove parenthesis around (-9 + 7b) -9 + 7b + -3(2b + 3) = -2 Reorder the terms: -9 + 7b + -3(3 + 2b) = -2 -9 + 7b + (3 * -3 + 2b * -3) = -2 -9 + 7b + (-9 + -6b) = -2 Reorder the terms: -9 + -9 + 7b + -6b = -2 Combine like terms: -9 + -9 = -18 -18 + 7b + -6b = -2 Combine like terms: 7b + -6b = 1b -18 + 1b = -2 Solving -18 + 1b = -2 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 1b = -2 + 18 Combine like terms: -18 + 18 = 0 0 + 1b = -2 + 18 1b = -2 + 18 Combine like terms: -2 + 18 = 16 1b = 16 Divide each side by '1'. b = 16 Simplifying b = 16
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