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Simplifying 8q + -32 = 2q + 2 Reorder the terms: -32 + 8q = 2q + 2 Reorder the terms: -32 + 8q = 2 + 2q Solving -32 + 8q = 2 + 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 = 2 + 2q + -2q Combine like terms: 8q + -2q = 6q -32 + 6q = 2 + 2q + -2q Combine like terms: 2q + -2q = 0 -32 + 6q = 2 + 0 -32 + 6q = 2 Add '32' to each side of the equation. -32 + 32 + 6q = 2 + 32 Combine like terms: -32 + 32 = 0 0 + 6q = 2 + 32 6q = 2 + 32 Combine like terms: 2 + 32 = 34 6q = 34 Divide each side by '6'. q = 5.666666667 Simplifying q = 5.666666667
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