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Simplifying 4(q + -3) + -9(q + 6) = 8 + -5q Reorder the terms: 4(-3 + q) + -9(q + 6) = 8 + -5q (-3 * 4 + q * 4) + -9(q + 6) = 8 + -5q (-12 + 4q) + -9(q + 6) = 8 + -5q Reorder the terms: -12 + 4q + -9(6 + q) = 8 + -5q -12 + 4q + (6 * -9 + q * -9) = 8 + -5q -12 + 4q + (-54 + -9q) = 8 + -5q Reorder the terms: -12 + -54 + 4q + -9q = 8 + -5q Combine like terms: -12 + -54 = -66 -66 + 4q + -9q = 8 + -5q Combine like terms: 4q + -9q = -5q -66 + -5q = 8 + -5q Add '5q' to each side of the equation. -66 + -5q + 5q = 8 + -5q + 5q Combine like terms: -5q + 5q = 0 -66 + 0 = 8 + -5q + 5q -66 = 8 + -5q + 5q Combine like terms: -5q + 5q = 0 -66 = 8 + 0 -66 = 8 Solving -66 = 8 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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