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Simplifying 4q + 1 = 3q + -6 Reorder the terms: 1 + 4q = 3q + -6 Reorder the terms: 1 + 4q = -6 + 3q Solving 1 + 4q = -6 + 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 = -6 + 3q + -3q Combine like terms: 4q + -3q = 1q 1 + 1q = -6 + 3q + -3q Combine like terms: 3q + -3q = 0 1 + 1q = -6 + 0 1 + 1q = -6 Add '-1' to each side of the equation. 1 + -1 + 1q = -6 + -1 Combine like terms: 1 + -1 = 0 0 + 1q = -6 + -1 1q = -6 + -1 Combine like terms: -6 + -1 = -7 1q = -7 Divide each side by '1'. q = -7 Simplifying q = -7
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