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Simplifying 8(q + 4) = -4q Reorder the terms: 8(4 + q) = -4q (4 * 8 + q * 8) = -4q (32 + 8q) = -4q Solving 32 + 8q = -4q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '4q' to each side of the equation. 32 + 8q + 4q = -4q + 4q Combine like terms: 8q + 4q = 12q 32 + 12q = -4q + 4q Combine like terms: -4q + 4q = 0 32 + 12q = 0 Add '-32' to each side of the equation. 32 + -32 + 12q = 0 + -32 Combine like terms: 32 + -32 = 0 0 + 12q = 0 + -32 12q = 0 + -32 Combine like terms: 0 + -32 = -32 12q = -32 Divide each side by '12'. q = -2.666666667 Simplifying q = -2.666666667
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