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Simplifying 9q + -4 + 3[q + -8] = 7 Reorder the terms: 9q + -4 + 3[-8 + q] = 7 9q + -4 + [-8 * 3 + q * 3] = 7 9q + -4 + [-24 + 3q] = 7 Reorder the terms: -4 + -24 + 9q + 3q = 7 Combine like terms: -4 + -24 = -28 -28 + 9q + 3q = 7 Combine like terms: 9q + 3q = 12q -28 + 12q = 7 Solving -28 + 12q = 7 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + 12q = 7 + 28 Combine like terms: -28 + 28 = 0 0 + 12q = 7 + 28 12q = 7 + 28 Combine like terms: 7 + 28 = 35 12q = 35 Divide each side by '12'. q = 2.916666667 Simplifying q = 2.916666667
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