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Simplifying (4q + -3r) + (-2q + -2r) = 0 Remove parenthesis around (4q + -3r) 4q + -3r + (-2q + -2r) = 0 Remove parenthesis around (-2q + -2r) 4q + -3r + -2q + -2r = 0 Reorder the terms: 4q + -2q + -3r + -2r = 0 Combine like terms: 4q + -2q = 2q 2q + -3r + -2r = 0 Combine like terms: -3r + -2r = -5r 2q + -5r = 0 Solving 2q + -5r = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '5r' to each side of the equation. 2q + -5r + 5r = 0 + 5r Combine like terms: -5r + 5r = 0 2q + 0 = 0 + 5r 2q = 0 + 5r Remove the zero: 2q = 5r Divide each side by '2'. q = 2.5r Simplifying q = 2.5r
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