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