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Simplifying 8(q + 4) = 2q + 3 Reorder the terms: 8(4 + q) = 2q + 3 (4 * 8 + q * 8) = 2q + 3 (32 + 8q) = 2q + 3 Reorder the terms: 32 + 8q = 3 + 2q Solving 32 + 8q = 3 + 2q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-2q' to each side of the equation. 32 + 8q + -2q = 3 + 2q + -2q Combine like terms: 8q + -2q = 6q 32 + 6q = 3 + 2q + -2q Combine like terms: 2q + -2q = 0 32 + 6q = 3 + 0 32 + 6q = 3 Add '-32' to each side of the equation. 32 + -32 + 6q = 3 + -32 Combine like terms: 32 + -32 = 0 0 + 6q = 3 + -32 6q = 3 + -32 Combine like terms: 3 + -32 = -29 6q = -29 Divide each side by '6'. q = -4.833333333 Simplifying q = -4.833333333
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