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Simplifying 2(q + -5) + 4(3q + 2) = 0 Reorder the terms: 2(-5 + q) + 4(3q + 2) = 0 (-5 * 2 + q * 2) + 4(3q + 2) = 0 (-10 + 2q) + 4(3q + 2) = 0 Reorder the terms: -10 + 2q + 4(2 + 3q) = 0 -10 + 2q + (2 * 4 + 3q * 4) = 0 -10 + 2q + (8 + 12q) = 0 Reorder the terms: -10 + 8 + 2q + 12q = 0 Combine like terms: -10 + 8 = -2 -2 + 2q + 12q = 0 Combine like terms: 2q + 12q = 14q -2 + 14q = 0 Solving -2 + 14q = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 14q = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 14q = 0 + 2 14q = 0 + 2 Combine like terms: 0 + 2 = 2 14q = 2 Divide each side by '14'. q = 0.1428571429 Simplifying q = 0.1428571429
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