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Simplifying 10q + -20 = 40 + -2q + -12 Reorder the terms: -20 + 10q = 40 + -2q + -12 Reorder the terms: -20 + 10q = 40 + -12 + -2q Combine like terms: 40 + -12 = 28 -20 + 10q = 28 + -2q Solving -20 + 10q = 28 + -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. -20 + 10q + 2q = 28 + -2q + 2q Combine like terms: 10q + 2q = 12q -20 + 12q = 28 + -2q + 2q Combine like terms: -2q + 2q = 0 -20 + 12q = 28 + 0 -20 + 12q = 28 Add '20' to each side of the equation. -20 + 20 + 12q = 28 + 20 Combine like terms: -20 + 20 = 0 0 + 12q = 28 + 20 12q = 28 + 20 Combine like terms: 28 + 20 = 48 12q = 48 Divide each side by '12'. q = 4 Simplifying q = 4
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