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Simplifying 8q + -1q + 7 + -4 + -3q = 47 Reorder the terms: 7 + -4 + 8q + -1q + -3q = 47 Combine like terms: 7 + -4 = 3 3 + 8q + -1q + -3q = 47 Combine like terms: 8q + -1q = 7q 3 + 7q + -3q = 47 Combine like terms: 7q + -3q = 4q 3 + 4q = 47 Solving 3 + 4q = 47 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 4q = 47 + -3 Combine like terms: 3 + -3 = 0 0 + 4q = 47 + -3 4q = 47 + -3 Combine like terms: 47 + -3 = 44 4q = 44 Divide each side by '4'. q = 11 Simplifying q = 11
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