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Simplifying 8(4q + 1) + 7q = 0 Reorder the terms: 8(1 + 4q) + 7q = 0 (1 * 8 + 4q * 8) + 7q = 0 (8 + 32q) + 7q = 0 Combine like terms: 32q + 7q = 39q 8 + 39q = 0 Solving 8 + 39q = 0 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 + 39q = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 39q = 0 + -8 39q = 0 + -8 Combine like terms: 0 + -8 = -8 39q = -8 Divide each side by '39'. q = -0.2051282051 Simplifying q = -0.2051282051
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