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Simplifying 4q + 7 + -3q = 2q + -13 Reorder the terms: 7 + 4q + -3q = 2q + -13 Combine like terms: 4q + -3q = 1q 7 + 1q = 2q + -13 Reorder the terms: 7 + 1q = -13 + 2q Solving 7 + 1q = -13 + 2q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-2q' to each side of the equation. 7 + 1q + -2q = -13 + 2q + -2q Combine like terms: 1q + -2q = -1q 7 + -1q = -13 + 2q + -2q Combine like terms: 2q + -2q = 0 7 + -1q = -13 + 0 7 + -1q = -13 Add '-7' to each side of the equation. 7 + -7 + -1q = -13 + -7 Combine like terms: 7 + -7 = 0 0 + -1q = -13 + -7 -1q = -13 + -7 Combine like terms: -13 + -7 = -20 -1q = -20 Divide each side by '-1'. q = 20 Simplifying q = 20
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