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Simplifying 12q + -7 = 6q + 17 Reorder the terms: -7 + 12q = 6q + 17 Reorder the terms: -7 + 12q = 17 + 6q Solving -7 + 12q = 17 + 6q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-6q' to each side of the equation. -7 + 12q + -6q = 17 + 6q + -6q Combine like terms: 12q + -6q = 6q -7 + 6q = 17 + 6q + -6q Combine like terms: 6q + -6q = 0 -7 + 6q = 17 + 0 -7 + 6q = 17 Add '7' to each side of the equation. -7 + 7 + 6q = 17 + 7 Combine like terms: -7 + 7 = 0 0 + 6q = 17 + 7 6q = 17 + 7 Combine like terms: 17 + 7 = 24 6q = 24 Divide each side by '6'. q = 4 Simplifying q = 4
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