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Simplifying 15q + -3(4q + -1b) = 3q + 9 + -9q Reorder the terms: 15q + -3(-1b + 4q) = 3q + 9 + -9q 15q + (-1b * -3 + 4q * -3) = 3q + 9 + -9q 15q + (3b + -12q) = 3q + 9 + -9q Reorder the terms: 3b + 15q + -12q = 3q + 9 + -9q Combine like terms: 15q + -12q = 3q 3b + 3q = 3q + 9 + -9q Reorder the terms: 3b + 3q = 9 + 3q + -9q Combine like terms: 3q + -9q = -6q 3b + 3q = 9 + -6q Solving 3b + 3q = 9 + -6q Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3q' to each side of the equation. 3b + 3q + -3q = 9 + -6q + -3q Combine like terms: 3q + -3q = 0 3b + 0 = 9 + -6q + -3q 3b = 9 + -6q + -3q Combine like terms: -6q + -3q = -9q 3b = 9 + -9q Divide each side by '3'. b = 3 + -3q Simplifying b = 3 + -3q
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