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Simplifying 12 + 5q + 8q + -7 = 17q + 11 + -4q + -6 Reorder the terms: 12 + -7 + 5q + 8q = 17q + 11 + -4q + -6 Combine like terms: 12 + -7 = 5 5 + 5q + 8q = 17q + 11 + -4q + -6 Combine like terms: 5q + 8q = 13q 5 + 13q = 17q + 11 + -4q + -6 Reorder the terms: 5 + 13q = 11 + -6 + 17q + -4q Combine like terms: 11 + -6 = 5 5 + 13q = 5 + 17q + -4q Combine like terms: 17q + -4q = 13q 5 + 13q = 5 + 13q Add '-5' to each side of the equation. 5 + -5 + 13q = 5 + -5 + 13q Combine like terms: 5 + -5 = 0 0 + 13q = 5 + -5 + 13q 13q = 5 + -5 + 13q Combine like terms: 5 + -5 = 0 13q = 0 + 13q 13q = 13q Add '-13q' to each side of the equation. 13q + -13q = 13q + -13q Combine like terms: 13q + -13q = 0 0 = 13q + -13q Combine like terms: 13q + -13q = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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