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Simplifying 7q + -46 + 3q + 6 = 0 Reorder the terms: -46 + 6 + 7q + 3q = 0 Combine like terms: -46 + 6 = -40 -40 + 7q + 3q = 0 Combine like terms: 7q + 3q = 10q -40 + 10q = 0 Solving -40 + 10q = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + 10q = 0 + 40 Combine like terms: -40 + 40 = 0 0 + 10q = 0 + 40 10q = 0 + 40 Combine like terms: 0 + 40 = 40 10q = 40 Divide each side by '10'. q = 4 Simplifying q = 4
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