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Simplifying 7q + 2(q + -4) = 64 Reorder the terms: 7q + 2(-4 + q) = 64 7q + (-4 * 2 + q * 2) = 64 7q + (-8 + 2q) = 64 Reorder the terms: -8 + 7q + 2q = 64 Combine like terms: 7q + 2q = 9q -8 + 9q = 64 Solving -8 + 9q = 64 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 + 9q = 64 + 8 Combine like terms: -8 + 8 = 0 0 + 9q = 64 + 8 9q = 64 + 8 Combine like terms: 64 + 8 = 72 9q = 72 Divide each side by '9'. q = 8 Simplifying q = 8
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