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Simplifying 6q * r + 7r * s + -1(2s * t) = -9 Multiply q * r 6qr + 7r * s + -1(2s * t) = -9 Multiply r * s 6qr + 7rs + -1(2s * t) = -9 Multiply s * t 6qr + 7rs + -1(2st) = -9 Remove parenthesis around (2st) 6qr + 7rs + -1 * 2st = -9 Multiply -1 * 2 6qr + 7rs + -2st = -9 Solving 6qr + 7rs + -2st = -9 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-7rs' to each side of the equation. 6qr + 7rs + -7rs + -2st = -9 + -7rs Combine like terms: 7rs + -7rs = 0 6qr + 0 + -2st = -9 + -7rs 6qr + -2st = -9 + -7rs Add '2st' to each side of the equation. 6qr + -2st + 2st = -9 + -7rs + 2st Combine like terms: -2st + 2st = 0 6qr + 0 = -9 + -7rs + 2st 6qr = -9 + -7rs + 2st Divide each side by '6r'. q = -1.5r-1 + -1.166666667s + 0.3333333333r-1st Simplifying q = -1.5r-1 + -1.166666667s + 0.3333333333r-1st Reorder the terms: q = -1.5r-1 + 0.3333333333r-1st + -1.166666667s
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