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Simplifying 2 + -20q + -3q + 12 = 5 + 4q + 15 Reorder the terms: 2 + 12 + -20q + -3q = 5 + 4q + 15 Combine like terms: 2 + 12 = 14 14 + -20q + -3q = 5 + 4q + 15 Combine like terms: -20q + -3q = -23q 14 + -23q = 5 + 4q + 15 Reorder the terms: 14 + -23q = 5 + 15 + 4q Combine like terms: 5 + 15 = 20 14 + -23q = 20 + 4q Solving 14 + -23q = 20 + 4q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-4q' to each side of the equation. 14 + -23q + -4q = 20 + 4q + -4q Combine like terms: -23q + -4q = -27q 14 + -27q = 20 + 4q + -4q Combine like terms: 4q + -4q = 0 14 + -27q = 20 + 0 14 + -27q = 20 Add '-14' to each side of the equation. 14 + -14 + -27q = 20 + -14 Combine like terms: 14 + -14 = 0 0 + -27q = 20 + -14 -27q = 20 + -14 Combine like terms: 20 + -14 = 6 -27q = 6 Divide each side by '-27'. q = -0.2222222222 Simplifying q = -0.2222222222
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