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Simplifying 8q + -1(q + -2) = 5q + 2(q + 1) Reorder the terms: 8q + -1(-2 + q) = 5q + 2(q + 1) 8q + (-2 * -1 + q * -1) = 5q + 2(q + 1) 8q + (2 + -1q) = 5q + 2(q + 1) Reorder the terms: 2 + 8q + -1q = 5q + 2(q + 1) Combine like terms: 8q + -1q = 7q 2 + 7q = 5q + 2(q + 1) Reorder the terms: 2 + 7q = 5q + 2(1 + q) 2 + 7q = 5q + (1 * 2 + q * 2) 2 + 7q = 5q + (2 + 2q) Reorder the terms: 2 + 7q = 2 + 5q + 2q Combine like terms: 5q + 2q = 7q 2 + 7q = 2 + 7q Add '-2' to each side of the equation. 2 + -2 + 7q = 2 + -2 + 7q Combine like terms: 2 + -2 = 0 0 + 7q = 2 + -2 + 7q 7q = 2 + -2 + 7q Combine like terms: 2 + -2 = 0 7q = 0 + 7q 7q = 7q Add '-7q' to each side of the equation. 7q + -7q = 7q + -7q Combine like terms: 7q + -7q = 0 0 = 7q + -7q Combine like terms: 7q + -7q = 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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