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Simplifying 3q + -1(2 + -1q) = 2(2q + -1) 3q + (2 * -1 + -1q * -1) = 2(2q + -1) 3q + (-2 + 1q) = 2(2q + -1) Reorder the terms: -2 + 3q + 1q = 2(2q + -1) Combine like terms: 3q + 1q = 4q -2 + 4q = 2(2q + -1) Reorder the terms: -2 + 4q = 2(-1 + 2q) -2 + 4q = (-1 * 2 + 2q * 2) -2 + 4q = (-2 + 4q) Add '2' to each side of the equation. -2 + 2 + 4q = -2 + 2 + 4q Combine like terms: -2 + 2 = 0 0 + 4q = -2 + 2 + 4q 4q = -2 + 2 + 4q Combine like terms: -2 + 2 = 0 4q = 0 + 4q 4q = 4q Add '-4q' to each side of the equation. 4q + -4q = 4q + -4q Combine like terms: 4q + -4q = 0 0 = 4q + -4q Combine like terms: 4q + -4q = 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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