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Simplifying 4q + -1(8q + 9) = 7 + -1(12q + -9) Reorder the terms: 4q + -1(9 + 8q) = 7 + -1(12q + -9) 4q + (9 * -1 + 8q * -1) = 7 + -1(12q + -9) 4q + (-9 + -8q) = 7 + -1(12q + -9) Reorder the terms: -9 + 4q + -8q = 7 + -1(12q + -9) Combine like terms: 4q + -8q = -4q -9 + -4q = 7 + -1(12q + -9) Reorder the terms: -9 + -4q = 7 + -1(-9 + 12q) -9 + -4q = 7 + (-9 * -1 + 12q * -1) -9 + -4q = 7 + (9 + -12q) Combine like terms: 7 + 9 = 16 -9 + -4q = 16 + -12q Solving -9 + -4q = 16 + -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. -9 + -4q + 12q = 16 + -12q + 12q Combine like terms: -4q + 12q = 8q -9 + 8q = 16 + -12q + 12q Combine like terms: -12q + 12q = 0 -9 + 8q = 16 + 0 -9 + 8q = 16 Add '9' to each side of the equation. -9 + 9 + 8q = 16 + 9 Combine like terms: -9 + 9 = 0 0 + 8q = 16 + 9 8q = 16 + 9 Combine like terms: 16 + 9 = 25 8q = 25 Divide each side by '8'. q = 3.125 Simplifying q = 3.125
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