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Simplifying -23 = 13q + 3(-9q + -3) Reorder the terms: -23 = 13q + 3(-3 + -9q) -23 = 13q + (-3 * 3 + -9q * 3) -23 = 13q + (-9 + -27q) Reorder the terms: -23 = -9 + 13q + -27q Combine like terms: 13q + -27q = -14q -23 = -9 + -14q Solving -23 = -9 + -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. -23 + 14q = -9 + -14q + 14q Combine like terms: -14q + 14q = 0 -23 + 14q = -9 + 0 -23 + 14q = -9 Add '23' to each side of the equation. -23 + 23 + 14q = -9 + 23 Combine like terms: -23 + 23 = 0 0 + 14q = -9 + 23 14q = -9 + 23 Combine like terms: -9 + 23 = 14 14q = 14 Divide each side by '14'. q = 1 Simplifying q = 1
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