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