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Simplifying 8q + -78 = 2q + 66 Reorder the terms: -78 + 8q = 2q + 66 Reorder the terms: -78 + 8q = 66 + 2q Solving -78 + 8q = 66 + 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. -78 + 8q + -2q = 66 + 2q + -2q Combine like terms: 8q + -2q = 6q -78 + 6q = 66 + 2q + -2q Combine like terms: 2q + -2q = 0 -78 + 6q = 66 + 0 -78 + 6q = 66 Add '78' to each side of the equation. -78 + 78 + 6q = 66 + 78 Combine like terms: -78 + 78 = 0 0 + 6q = 66 + 78 6q = 66 + 78 Combine like terms: 66 + 78 = 144 6q = 144 Divide each side by '6'. q = 24 Simplifying q = 24
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