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Simplifying 7q + -46 = 3q + 6 Reorder the terms: -46 + 7q = 3q + 6 Reorder the terms: -46 + 7q = 6 + 3q Solving -46 + 7q = 6 + 3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-3q' to each side of the equation. -46 + 7q + -3q = 6 + 3q + -3q Combine like terms: 7q + -3q = 4q -46 + 4q = 6 + 3q + -3q Combine like terms: 3q + -3q = 0 -46 + 4q = 6 + 0 -46 + 4q = 6 Add '46' to each side of the equation. -46 + 46 + 4q = 6 + 46 Combine like terms: -46 + 46 = 0 0 + 4q = 6 + 46 4q = 6 + 46 Combine like terms: 6 + 46 = 52 4q = 52 Divide each side by '4'. q = 13 Simplifying q = 13
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