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Simplifying 10q + -6 = 7q + 12 Reorder the terms: -6 + 10q = 7q + 12 Reorder the terms: -6 + 10q = 12 + 7q Solving -6 + 10q = 12 + 7q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-7q' to each side of the equation. -6 + 10q + -7q = 12 + 7q + -7q Combine like terms: 10q + -7q = 3q -6 + 3q = 12 + 7q + -7q Combine like terms: 7q + -7q = 0 -6 + 3q = 12 + 0 -6 + 3q = 12 Add '6' to each side of the equation. -6 + 6 + 3q = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 3q = 12 + 6 3q = 12 + 6 Combine like terms: 12 + 6 = 18 3q = 18 Divide each side by '3'. q = 6 Simplifying q = 6
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