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Simplifying (4q + -5) * 2 = 7q + 2 Reorder the terms: (-5 + 4q) * 2 = 7q + 2 Reorder the terms for easier multiplication: 2(-5 + 4q) = 7q + 2 (-5 * 2 + 4q * 2) = 7q + 2 (-10 + 8q) = 7q + 2 Reorder the terms: -10 + 8q = 2 + 7q Solving -10 + 8q = 2 + 7q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-7q' to each side of the equation. -10 + 8q + -7q = 2 + 7q + -7q Combine like terms: 8q + -7q = 1q -10 + 1q = 2 + 7q + -7q Combine like terms: 7q + -7q = 0 -10 + 1q = 2 + 0 -10 + 1q = 2 Add '10' to each side of the equation. -10 + 10 + 1q = 2 + 10 Combine like terms: -10 + 10 = 0 0 + 1q = 2 + 10 1q = 2 + 10 Combine like terms: 2 + 10 = 12 1q = 12 Divide each side by '1'. q = 12 Simplifying q = 12
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