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Simplifying 4(q + -3) + 5q + -1 = 6q + 5 + 3q Reorder the terms: 4(-3 + q) + 5q + -1 = 6q + 5 + 3q (-3 * 4 + q * 4) + 5q + -1 = 6q + 5 + 3q (-12 + 4q) + 5q + -1 = 6q + 5 + 3q Reorder the terms: -12 + -1 + 4q + 5q = 6q + 5 + 3q Combine like terms: -12 + -1 = -13 -13 + 4q + 5q = 6q + 5 + 3q Combine like terms: 4q + 5q = 9q -13 + 9q = 6q + 5 + 3q Reorder the terms: -13 + 9q = 5 + 6q + 3q Combine like terms: 6q + 3q = 9q -13 + 9q = 5 + 9q Add '-9q' to each side of the equation. -13 + 9q + -9q = 5 + 9q + -9q Combine like terms: 9q + -9q = 0 -13 + 0 = 5 + 9q + -9q -13 = 5 + 9q + -9q Combine like terms: 9q + -9q = 0 -13 = 5 + 0 -13 = 5 Solving -13 = 5 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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