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Simplifying 1q + 7 = 2q + 5 Reorder the terms: 7 + 1q = 2q + 5 Reorder the terms: 7 + 1q = 5 + 2q Solving 7 + 1q = 5 + 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 = 5 + 2q + -2q Combine like terms: 1q + -2q = -1q 7 + -1q = 5 + 2q + -2q Combine like terms: 2q + -2q = 0 7 + -1q = 5 + 0 7 + -1q = 5 Add '-7' to each side of the equation. 7 + -7 + -1q = 5 + -7 Combine like terms: 7 + -7 = 0 0 + -1q = 5 + -7 -1q = 5 + -7 Combine like terms: 5 + -7 = -2 -1q = -2 Divide each side by '-1'. q = 2 Simplifying q = 2
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