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Simplifying 7q + 2 = 3q + -10 Reorder the terms: 2 + 7q = 3q + -10 Reorder the terms: 2 + 7q = -10 + 3q Solving 2 + 7q = -10 + 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. 2 + 7q + -3q = -10 + 3q + -3q Combine like terms: 7q + -3q = 4q 2 + 4q = -10 + 3q + -3q Combine like terms: 3q + -3q = 0 2 + 4q = -10 + 0 2 + 4q = -10 Add '-2' to each side of the equation. 2 + -2 + 4q = -10 + -2 Combine like terms: 2 + -2 = 0 0 + 4q = -10 + -2 4q = -10 + -2 Combine like terms: -10 + -2 = -12 4q = -12 Divide each side by '4'. q = -3 Simplifying q = -3
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