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Simplifying 2q + -4(-2 + -4q) = -9 + 12q 2q + (-2 * -4 + -4q * -4) = -9 + 12q 2q + (8 + 16q) = -9 + 12q Reorder the terms: 8 + 2q + 16q = -9 + 12q Combine like terms: 2q + 16q = 18q 8 + 18q = -9 + 12q Solving 8 + 18q = -9 + 12q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-12q' to each side of the equation. 8 + 18q + -12q = -9 + 12q + -12q Combine like terms: 18q + -12q = 6q 8 + 6q = -9 + 12q + -12q Combine like terms: 12q + -12q = 0 8 + 6q = -9 + 0 8 + 6q = -9 Add '-8' to each side of the equation. 8 + -8 + 6q = -9 + -8 Combine like terms: 8 + -8 = 0 0 + 6q = -9 + -8 6q = -9 + -8 Combine like terms: -9 + -8 = -17 6q = -17 Divide each side by '6'. q = -2.833333333 Simplifying q = -2.833333333
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