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Simplifying 7q + -1(3q + 14) = 18 Reorder the terms: 7q + -1(14 + 3q) = 18 7q + (14 * -1 + 3q * -1) = 18 7q + (-14 + -3q) = 18 Reorder the terms: -14 + 7q + -3q = 18 Combine like terms: 7q + -3q = 4q -14 + 4q = 18 Solving -14 + 4q = 18 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 4q = 18 + 14 Combine like terms: -14 + 14 = 0 0 + 4q = 18 + 14 4q = 18 + 14 Combine like terms: 18 + 14 = 32 4q = 32 Divide each side by '4'. q = 8 Simplifying q = 8
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