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Simplifying 3 + -2(6 + -1q) = 3q 3 + (6 * -2 + -1q * -2) = 3q 3 + (-12 + 2q) = 3q Combine like terms: 3 + -12 = -9 -9 + 2q = 3q Solving -9 + 2q = 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. -9 + 2q + -3q = 3q + -3q Combine like terms: 2q + -3q = -1q -9 + -1q = 3q + -3q Combine like terms: 3q + -3q = 0 -9 + -1q = 0 Add '9' to each side of the equation. -9 + 9 + -1q = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1q = 0 + 9 -1q = 0 + 9 Combine like terms: 0 + 9 = 9 -1q = 9 Divide each side by '-1'. q = -9 Simplifying q = -9
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