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Simplifying -4(3q + -1) = 18 + 20 + -14q Reorder the terms: -4(-1 + 3q) = 18 + 20 + -14q (-1 * -4 + 3q * -4) = 18 + 20 + -14q (4 + -12q) = 18 + 20 + -14q Combine like terms: 18 + 20 = 38 4 + -12q = 38 + -14q Solving 4 + -12q = 38 + -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. 4 + -12q + 14q = 38 + -14q + 14q Combine like terms: -12q + 14q = 2q 4 + 2q = 38 + -14q + 14q Combine like terms: -14q + 14q = 0 4 + 2q = 38 + 0 4 + 2q = 38 Add '-4' to each side of the equation. 4 + -4 + 2q = 38 + -4 Combine like terms: 4 + -4 = 0 0 + 2q = 38 + -4 2q = 38 + -4 Combine like terms: 38 + -4 = 34 2q = 34 Divide each side by '2'. q = 17 Simplifying q = 17
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