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Simplifying 2(8q + -5) = 7 + 4q Reorder the terms: 2(-5 + 8q) = 7 + 4q (-5 * 2 + 8q * 2) = 7 + 4q (-10 + 16q) = 7 + 4q Solving -10 + 16q = 7 + 4q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-4q' to each side of the equation. -10 + 16q + -4q = 7 + 4q + -4q Combine like terms: 16q + -4q = 12q -10 + 12q = 7 + 4q + -4q Combine like terms: 4q + -4q = 0 -10 + 12q = 7 + 0 -10 + 12q = 7 Add '10' to each side of the equation. -10 + 10 + 12q = 7 + 10 Combine like terms: -10 + 10 = 0 0 + 12q = 7 + 10 12q = 7 + 10 Combine like terms: 7 + 10 = 17 12q = 17 Divide each side by '12'. q = 1.416666667 Simplifying q = 1.416666667
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