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Simplifying 3q + 1(1 + -1q) = 2q + 1 3q + (1 * 1 + -1q * 1) = 2q + 1 3q + (1 + -1q) = 2q + 1 Reorder the terms: 1 + 3q + -1q = 2q + 1 Combine like terms: 3q + -1q = 2q 1 + 2q = 2q + 1 Reorder the terms: 1 + 2q = 1 + 2q Add '-1' to each side of the equation. 1 + -1 + 2q = 1 + -1 + 2q Combine like terms: 1 + -1 = 0 0 + 2q = 1 + -1 + 2q 2q = 1 + -1 + 2q Combine like terms: 1 + -1 = 0 2q = 0 + 2q 2q = 2q Add '-2q' to each side of the equation. 2q + -2q = 2q + -2q Combine like terms: 2q + -2q = 0 0 = 2q + -2q Combine like terms: 2q + -2q = 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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