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Simplifying 7(2q + 3) + -4(3q + -5) = 0 Reorder the terms: 7(3 + 2q) + -4(3q + -5) = 0 (3 * 7 + 2q * 7) + -4(3q + -5) = 0 (21 + 14q) + -4(3q + -5) = 0 Reorder the terms: 21 + 14q + -4(-5 + 3q) = 0 21 + 14q + (-5 * -4 + 3q * -4) = 0 21 + 14q + (20 + -12q) = 0 Reorder the terms: 21 + 20 + 14q + -12q = 0 Combine like terms: 21 + 20 = 41 41 + 14q + -12q = 0 Combine like terms: 14q + -12q = 2q 41 + 2q = 0 Solving 41 + 2q = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-41' to each side of the equation. 41 + -41 + 2q = 0 + -41 Combine like terms: 41 + -41 = 0 0 + 2q = 0 + -41 2q = 0 + -41 Combine like terms: 0 + -41 = -41 2q = -41 Divide each side by '2'. q = -20.5 Simplifying q = -20.5
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