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Simplifying 2(5q + -7) = 3q Reorder the terms: 2(-7 + 5q) = 3q (-7 * 2 + 5q * 2) = 3q (-14 + 10q) = 3q Solving -14 + 10q = 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. -14 + 10q + -3q = 3q + -3q Combine like terms: 10q + -3q = 7q -14 + 7q = 3q + -3q Combine like terms: 3q + -3q = 0 -14 + 7q = 0 Add '14' to each side of the equation. -14 + 14 + 7q = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 7q = 0 + 14 7q = 0 + 14 Combine like terms: 0 + 14 = 14 7q = 14 Divide each side by '7'. q = 2 Simplifying q = 2
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