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Simplifying 14q + -52 = 8q + -46 Reorder the terms: -52 + 14q = 8q + -46 Reorder the terms: -52 + 14q = -46 + 8q Solving -52 + 14q = -46 + 8q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-8q' to each side of the equation. -52 + 14q + -8q = -46 + 8q + -8q Combine like terms: 14q + -8q = 6q -52 + 6q = -46 + 8q + -8q Combine like terms: 8q + -8q = 0 -52 + 6q = -46 + 0 -52 + 6q = -46 Add '52' to each side of the equation. -52 + 52 + 6q = -46 + 52 Combine like terms: -52 + 52 = 0 0 + 6q = -46 + 52 6q = -46 + 52 Combine like terms: -46 + 52 = 6 6q = 6 Divide each side by '6'. q = 1 Simplifying q = 1
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