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Simplifying 12q = -20q + -2(-17q + -7) Reorder the terms: 12q = -20q + -2(-7 + -17q) 12q = -20q + (-7 * -2 + -17q * -2) 12q = -20q + (14 + 34q) Reorder the terms: 12q = 14 + -20q + 34q Combine like terms: -20q + 34q = 14q 12q = 14 + 14q Solving 12q = 14 + 14q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-14q' to each side of the equation. 12q + -14q = 14 + 14q + -14q Combine like terms: 12q + -14q = -2q -2q = 14 + 14q + -14q Combine like terms: 14q + -14q = 0 -2q = 14 + 0 -2q = 14 Divide each side by '-2'. q = -7 Simplifying q = -7
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