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Simplifying 5q + -12 = 2q + 6 Reorder the terms: -12 + 5q = 2q + 6 Reorder the terms: -12 + 5q = 6 + 2q Solving -12 + 5q = 6 + 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. -12 + 5q + -2q = 6 + 2q + -2q Combine like terms: 5q + -2q = 3q -12 + 3q = 6 + 2q + -2q Combine like terms: 2q + -2q = 0 -12 + 3q = 6 + 0 -12 + 3q = 6 Add '12' to each side of the equation. -12 + 12 + 3q = 6 + 12 Combine like terms: -12 + 12 = 0 0 + 3q = 6 + 12 3q = 6 + 12 Combine like terms: 6 + 12 = 18 3q = 18 Divide each side by '3'. q = 6 Simplifying q = 6
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