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Simplifying (7b + -9) + -2(3b + 2) = -6 Reorder the terms: (-9 + 7b) + -2(3b + 2) = -6 Remove parenthesis around (-9 + 7b) -9 + 7b + -2(3b + 2) = -6 Reorder the terms: -9 + 7b + -2(2 + 3b) = -6 -9 + 7b + (2 * -2 + 3b * -2) = -6 -9 + 7b + (-4 + -6b) = -6 Reorder the terms: -9 + -4 + 7b + -6b = -6 Combine like terms: -9 + -4 = -13 -13 + 7b + -6b = -6 Combine like terms: 7b + -6b = 1b -13 + 1b = -6 Solving -13 + 1b = -6 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 1b = -6 + 13 Combine like terms: -13 + 13 = 0 0 + 1b = -6 + 13 1b = -6 + 13 Combine like terms: -6 + 13 = 7 1b = 7 Divide each side by '1'. b = 7 Simplifying b = 7
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