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Simplifying 9q + 3(q + -7) = 18 + -1q Reorder the terms: 9q + 3(-7 + q) = 18 + -1q 9q + (-7 * 3 + q * 3) = 18 + -1q 9q + (-21 + 3q) = 18 + -1q Reorder the terms: -21 + 9q + 3q = 18 + -1q Combine like terms: 9q + 3q = 12q -21 + 12q = 18 + -1q Solving -21 + 12q = 18 + -1q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add 'q' to each side of the equation. -21 + 12q + q = 18 + -1q + q Combine like terms: 12q + q = 13q -21 + 13q = 18 + -1q + q Combine like terms: -1q + q = 0 -21 + 13q = 18 + 0 -21 + 13q = 18 Add '21' to each side of the equation. -21 + 21 + 13q = 18 + 21 Combine like terms: -21 + 21 = 0 0 + 13q = 18 + 21 13q = 18 + 21 Combine like terms: 18 + 21 = 39 13q = 39 Divide each side by '13'. q = 3 Simplifying q = 3
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