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Simplifying 4q + 6 = -3q + -43 Reorder the terms: 6 + 4q = -3q + -43 Reorder the terms: 6 + 4q = -43 + -3q Solving 6 + 4q = -43 + -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. 6 + 4q + 3q = -43 + -3q + 3q Combine like terms: 4q + 3q = 7q 6 + 7q = -43 + -3q + 3q Combine like terms: -3q + 3q = 0 6 + 7q = -43 + 0 6 + 7q = -43 Add '-6' to each side of the equation. 6 + -6 + 7q = -43 + -6 Combine like terms: 6 + -6 = 0 0 + 7q = -43 + -6 7q = -43 + -6 Combine like terms: -43 + -6 = -49 7q = -49 Divide each side by '7'. q = -7 Simplifying q = -7
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