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Simplifying 2q + -7 = 8q + 5 Reorder the terms: -7 + 2q = 8q + 5 Reorder the terms: -7 + 2q = 5 + 8q Solving -7 + 2q = 5 + 8q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-8q' to each side of the equation. -7 + 2q + -8q = 5 + 8q + -8q Combine like terms: 2q + -8q = -6q -7 + -6q = 5 + 8q + -8q Combine like terms: 8q + -8q = 0 -7 + -6q = 5 + 0 -7 + -6q = 5 Add '7' to each side of the equation. -7 + 7 + -6q = 5 + 7 Combine like terms: -7 + 7 = 0 0 + -6q = 5 + 7 -6q = 5 + 7 Combine like terms: 5 + 7 = 12 -6q = 12 Divide each side by '-6'. q = -2 Simplifying q = -2
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