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Simplifying 46 = 4q + 14 Reorder the terms: 46 = 14 + 4q Solving 46 = 14 + 4q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-4q' to each side of the equation. 46 + -4q = 14 + 4q + -4q Combine like terms: 4q + -4q = 0 46 + -4q = 14 + 0 46 + -4q = 14 Add '-46' to each side of the equation. 46 + -46 + -4q = 14 + -46 Combine like terms: 46 + -46 = 0 0 + -4q = 14 + -46 -4q = 14 + -46 Combine like terms: 14 + -46 = -32 -4q = -32 Divide each side by '-4'. q = 8 Simplifying q = 8
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