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Simplifying 46 = 7 + -3q Solving 46 = 7 + -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 + 3q = 7 + -3q + 3q Combine like terms: -3q + 3q = 0 46 + 3q = 7 + 0 46 + 3q = 7 Add '-46' to each side of the equation. 46 + -46 + 3q = 7 + -46 Combine like terms: 46 + -46 = 0 0 + 3q = 7 + -46 3q = 7 + -46 Combine like terms: 7 + -46 = -39 3q = -39 Divide each side by '3'. q = -13 Simplifying q = -13
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