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Simplifying 9 + 7(q + -11) = -1q + -12 Reorder the terms: 9 + 7(-11 + q) = -1q + -12 9 + (-11 * 7 + q * 7) = -1q + -12 9 + (-77 + 7q) = -1q + -12 Combine like terms: 9 + -77 = -68 -68 + 7q = -1q + -12 Reorder the terms: -68 + 7q = -12 + -1q Solving -68 + 7q = -12 + -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. -68 + 7q + q = -12 + -1q + q Combine like terms: 7q + q = 8q -68 + 8q = -12 + -1q + q Combine like terms: -1q + q = 0 -68 + 8q = -12 + 0 -68 + 8q = -12 Add '68' to each side of the equation. -68 + 68 + 8q = -12 + 68 Combine like terms: -68 + 68 = 0 0 + 8q = -12 + 68 8q = -12 + 68 Combine like terms: -12 + 68 = 56 8q = 56 Divide each side by '8'. q = 7 Simplifying q = 7
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