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Simplifying 12q + 86 = 20q + -74 Reorder the terms: 86 + 12q = 20q + -74 Reorder the terms: 86 + 12q = -74 + 20q Solving 86 + 12q = -74 + 20q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-20q' to each side of the equation. 86 + 12q + -20q = -74 + 20q + -20q Combine like terms: 12q + -20q = -8q 86 + -8q = -74 + 20q + -20q Combine like terms: 20q + -20q = 0 86 + -8q = -74 + 0 86 + -8q = -74 Add '-86' to each side of the equation. 86 + -86 + -8q = -74 + -86 Combine like terms: 86 + -86 = 0 0 + -8q = -74 + -86 -8q = -74 + -86 Combine like terms: -74 + -86 = -160 -8q = -160 Divide each side by '-8'. q = 20 Simplifying q = 20
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