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Simplifying 5q + 4 = 2q + 12 Reorder the terms: 4 + 5q = 2q + 12 Reorder the terms: 4 + 5q = 12 + 2q Solving 4 + 5q = 12 + 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. 4 + 5q + -2q = 12 + 2q + -2q Combine like terms: 5q + -2q = 3q 4 + 3q = 12 + 2q + -2q Combine like terms: 2q + -2q = 0 4 + 3q = 12 + 0 4 + 3q = 12 Add '-4' to each side of the equation. 4 + -4 + 3q = 12 + -4 Combine like terms: 4 + -4 = 0 0 + 3q = 12 + -4 3q = 12 + -4 Combine like terms: 12 + -4 = 8 3q = 8 Divide each side by '3'. q = 2.666666667 Simplifying q = 2.666666667
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