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Simplifying (2q + 3) + -1(-4q + 5) + (6q + -7) = 0 Reorder the terms: (3 + 2q) + -1(-4q + 5) + (6q + -7) = 0 Remove parenthesis around (3 + 2q) 3 + 2q + -1(-4q + 5) + (6q + -7) = 0 Reorder the terms: 3 + 2q + -1(5 + -4q) + (6q + -7) = 0 3 + 2q + (5 * -1 + -4q * -1) + (6q + -7) = 0 3 + 2q + (-5 + 4q) + (6q + -7) = 0 Reorder the terms: 3 + 2q + -5 + 4q + (-7 + 6q) = 0 Remove parenthesis around (-7 + 6q) 3 + 2q + -5 + 4q + -7 + 6q = 0 Reorder the terms: 3 + -5 + -7 + 2q + 4q + 6q = 0 Combine like terms: 3 + -5 = -2 -2 + -7 + 2q + 4q + 6q = 0 Combine like terms: -2 + -7 = -9 -9 + 2q + 4q + 6q = 0 Combine like terms: 2q + 4q = 6q -9 + 6q + 6q = 0 Combine like terms: 6q + 6q = 12q -9 + 12q = 0 Solving -9 + 12q = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 12q = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 12q = 0 + 9 12q = 0 + 9 Combine like terms: 0 + 9 = 9 12q = 9 Divide each side by '12'. q = 0.75 Simplifying q = 0.75
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