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Simplifying -13q = -5 + 3(-9q + -17) Reorder the terms: -13q = -5 + 3(-17 + -9q) -13q = -5 + (-17 * 3 + -9q * 3) -13q = -5 + (-51 + -27q) Combine like terms: -5 + -51 = -56 -13q = -56 + -27q Solving -13q = -56 + -27q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '27q' to each side of the equation. -13q + 27q = -56 + -27q + 27q Combine like terms: -13q + 27q = 14q 14q = -56 + -27q + 27q Combine like terms: -27q + 27q = 0 14q = -56 + 0 14q = -56 Divide each side by '14'. q = -4 Simplifying q = -4
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