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Simplifying 12q + 40 = 8q + 44 Reorder the terms: 40 + 12q = 8q + 44 Reorder the terms: 40 + 12q = 44 + 8q Solving 40 + 12q = 44 + 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. 40 + 12q + -8q = 44 + 8q + -8q Combine like terms: 12q + -8q = 4q 40 + 4q = 44 + 8q + -8q Combine like terms: 8q + -8q = 0 40 + 4q = 44 + 0 40 + 4q = 44 Add '-40' to each side of the equation. 40 + -40 + 4q = 44 + -40 Combine like terms: 40 + -40 = 0 0 + 4q = 44 + -40 4q = 44 + -40 Combine like terms: 44 + -40 = 4 4q = 4 Divide each side by '4'. q = 1 Simplifying q = 1
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