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Simplifying 3(3q + -2) + (q + -3) = 0 Reorder the terms: 3(-2 + 3q) + (q + -3) = 0 (-2 * 3 + 3q * 3) + (q + -3) = 0 (-6 + 9q) + (q + -3) = 0 Reorder the terms: -6 + 9q + (-3 + q) = 0 Remove parenthesis around (-3 + q) -6 + 9q + -3 + q = 0 Reorder the terms: -6 + -3 + 9q + q = 0 Combine like terms: -6 + -3 = -9 -9 + 9q + q = 0 Combine like terms: 9q + q = 10q -9 + 10q = 0 Solving -9 + 10q = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 10q = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 10q = 0 + 9 10q = 0 + 9 Combine like terms: 0 + 9 = 9 10q = 9 Divide each side by '10'. q = 0.9 Simplifying q = 0.9
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