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Simplifying -9(-16 + -1q) = 4(1 + -3q) (-16 * -9 + -1q * -9) = 4(1 + -3q) (144 + 9q) = 4(1 + -3q) 144 + 9q = (1 * 4 + -3q * 4) 144 + 9q = (4 + -12q) Solving 144 + 9q = 4 + -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. 144 + 9q + 12q = 4 + -12q + 12q Combine like terms: 9q + 12q = 21q 144 + 21q = 4 + -12q + 12q Combine like terms: -12q + 12q = 0 144 + 21q = 4 + 0 144 + 21q = 4 Add '-144' to each side of the equation. 144 + -144 + 21q = 4 + -144 Combine like terms: 144 + -144 = 0 0 + 21q = 4 + -144 21q = 4 + -144 Combine like terms: 4 + -144 = -140 21q = -140 Divide each side by '21'. q = -6.666666667 Simplifying q = -6.666666667
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