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Simplifying 9q + -1(q + -3) = 5q + 3(q + 1) Reorder the terms: 9q + -1(-3 + q) = 5q + 3(q + 1) 9q + (-3 * -1 + q * -1) = 5q + 3(q + 1) 9q + (3 + -1q) = 5q + 3(q + 1) Reorder the terms: 3 + 9q + -1q = 5q + 3(q + 1) Combine like terms: 9q + -1q = 8q 3 + 8q = 5q + 3(q + 1) Reorder the terms: 3 + 8q = 5q + 3(1 + q) 3 + 8q = 5q + (1 * 3 + q * 3) 3 + 8q = 5q + (3 + 3q) Reorder the terms: 3 + 8q = 3 + 5q + 3q Combine like terms: 5q + 3q = 8q 3 + 8q = 3 + 8q Add '-3' to each side of the equation. 3 + -3 + 8q = 3 + -3 + 8q Combine like terms: 3 + -3 = 0 0 + 8q = 3 + -3 + 8q 8q = 3 + -3 + 8q Combine like terms: 3 + -3 = 0 8q = 0 + 8q 8q = 8q Add '-8q' to each side of the equation. 8q + -8q = 8q + -8q Combine like terms: 8q + -8q = 0 0 = 8q + -8q Combine like terms: 8q + -8q = 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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