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Simplifying 4q + 1 = 8 + -3q Reorder the terms: 1 + 4q = 8 + -3q Solving 1 + 4q = 8 + -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. 1 + 4q + 3q = 8 + -3q + 3q Combine like terms: 4q + 3q = 7q 1 + 7q = 8 + -3q + 3q Combine like terms: -3q + 3q = 0 1 + 7q = 8 + 0 1 + 7q = 8 Add '-1' to each side of the equation. 1 + -1 + 7q = 8 + -1 Combine like terms: 1 + -1 = 0 0 + 7q = 8 + -1 7q = 8 + -1 Combine like terms: 8 + -1 = 7 7q = 7 Divide each side by '7'. q = 1 Simplifying q = 1
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