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Simplifying (-4 + 3r + 4q) + -1(6r + 2q + -7) = 0 Reorder the terms: (-4 + 4q + 3r) + -1(6r + 2q + -7) = 0 Remove parenthesis around (-4 + 4q + 3r) -4 + 4q + 3r + -1(6r + 2q + -7) = 0 Reorder the terms: -4 + 4q + 3r + -1(-7 + 2q + 6r) = 0 -4 + 4q + 3r + (-7 * -1 + 2q * -1 + 6r * -1) = 0 -4 + 4q + 3r + (7 + -2q + -6r) = 0 Reorder the terms: -4 + 7 + 4q + -2q + 3r + -6r = 0 Combine like terms: -4 + 7 = 3 3 + 4q + -2q + 3r + -6r = 0 Combine like terms: 4q + -2q = 2q 3 + 2q + 3r + -6r = 0 Combine like terms: 3r + -6r = -3r 3 + 2q + -3r = 0 Solving 3 + 2q + -3r = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 2q + -3 + -3r = 0 + -3 Reorder the terms: 3 + -3 + 2q + -3r = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2q + -3r = 0 + -3 2q + -3r = 0 + -3 Combine like terms: 0 + -3 = -3 2q + -3r = -3 Add '3r' to each side of the equation. 2q + -3r + 3r = -3 + 3r Combine like terms: -3r + 3r = 0 2q + 0 = -3 + 3r 2q = -3 + 3r Divide each side by '2'. q = -1.5 + 1.5r Simplifying q = -1.5 + 1.5r
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