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