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Simplifying 5(2q + -1) = 3q + 9 Reorder the terms: 5(-1 + 2q) = 3q + 9 (-1 * 5 + 2q * 5) = 3q + 9 (-5 + 10q) = 3q + 9 Reorder the terms: -5 + 10q = 9 + 3q Solving -5 + 10q = 9 + 3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-3q' to each side of the equation. -5 + 10q + -3q = 9 + 3q + -3q Combine like terms: 10q + -3q = 7q -5 + 7q = 9 + 3q + -3q Combine like terms: 3q + -3q = 0 -5 + 7q = 9 + 0 -5 + 7q = 9 Add '5' to each side of the equation. -5 + 5 + 7q = 9 + 5 Combine like terms: -5 + 5 = 0 0 + 7q = 9 + 5 7q = 9 + 5 Combine like terms: 9 + 5 = 14 7q = 14 Divide each side by '7'. q = 2 Simplifying q = 2
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