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Simplifying -4r + 3q = 12r + -7q Reorder the terms: 3q + -4r = 12r + -7q Reorder the terms: 3q + -4r = -7q + 12r Solving 3q + -4r = -7q + 12r Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '7q' to each side of the equation. 3q + 7q + -4r = -7q + 7q + 12r Combine like terms: 3q + 7q = 10q 10q + -4r = -7q + 7q + 12r Combine like terms: -7q + 7q = 0 10q + -4r = 0 + 12r 10q + -4r = 12r Add '4r' to each side of the equation. 10q + -4r + 4r = 12r + 4r Combine like terms: -4r + 4r = 0 10q + 0 = 12r + 4r 10q = 12r + 4r Combine like terms: 12r + 4r = 16r 10q = 16r Divide each side by '10'. q = 1.6r Simplifying q = 1.6r
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