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Simplifying 2q + -3(9 + -5) = 5(9 + 2) + -7 Combine like terms: 9 + -5 = 4 2q + -3(4) = 5(9 + 2) + -7 Multiply -3 * 4 2q + -12 = 5(9 + 2) + -7 Reorder the terms: -12 + 2q = 5(9 + 2) + -7 Combine like terms: 9 + 2 = 11 -12 + 2q = 5(11) + -7 Multiply 5 * 11 -12 + 2q = 55 + -7 Combine like terms: 55 + -7 = 48 -12 + 2q = 48 Solving -12 + 2q = 48 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 2q = 48 + 12 Combine like terms: -12 + 12 = 0 0 + 2q = 48 + 12 2q = 48 + 12 Combine like terms: 48 + 12 = 60 2q = 60 Divide each side by '2'. q = 30 Simplifying q = 30
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