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Simplifying (7b + -9) + -2(3b + 3) = -6 Reorder the terms: (-9 + 7b) + -2(3b + 3) = -6 Remove parenthesis around (-9 + 7b) -9 + 7b + -2(3b + 3) = -6 Reorder the terms: -9 + 7b + -2(3 + 3b) = -6 -9 + 7b + (3 * -2 + 3b * -2) = -6 -9 + 7b + (-6 + -6b) = -6 Reorder the terms: -9 + -6 + 7b + -6b = -6 Combine like terms: -9 + -6 = -15 -15 + 7b + -6b = -6 Combine like terms: 7b + -6b = 1b -15 + 1b = -6 Solving -15 + 1b = -6 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 = -6 + 15 Combine like terms: -15 + 15 = 0 0 + 1b = -6 + 15 1b = -6 + 15 Combine like terms: -6 + 15 = 9 1b = 9 Divide each side by '1'. b = 9 Simplifying b = 9
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