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Simplifying 13q + 2(q + -4) = 97 Reorder the terms: 13q + 2(-4 + q) = 97 13q + (-4 * 2 + q * 2) = 97 13q + (-8 + 2q) = 97 Reorder the terms: -8 + 13q + 2q = 97 Combine like terms: 13q + 2q = 15q -8 + 15q = 97 Solving -8 + 15q = 97 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 15q = 97 + 8 Combine like terms: -8 + 8 = 0 0 + 15q = 97 + 8 15q = 97 + 8 Combine like terms: 97 + 8 = 105 15q = 105 Divide each side by '15'. q = 7 Simplifying q = 7
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