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Simplifying (-4q + -7r) + -1(-22q + 12r) = 0 Remove parenthesis around (-4q + -7r) -4q + -7r + -1(-22q + 12r) = 0 -4q + -7r + (-22q * -1 + 12r * -1) = 0 -4q + -7r + (22q + -12r) = 0 Reorder the terms: -4q + 22q + -7r + -12r = 0 Combine like terms: -4q + 22q = 18q 18q + -7r + -12r = 0 Combine like terms: -7r + -12r = -19r 18q + -19r = 0 Solving 18q + -19r = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '19r' to each side of the equation. 18q + -19r + 19r = 0 + 19r Combine like terms: -19r + 19r = 0 18q + 0 = 0 + 19r 18q = 0 + 19r Remove the zero: 18q = 19r Divide each side by '18'. q = 1.055555556r Simplifying q = 1.055555556r
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