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