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Simplifying 7q + -1(q + -2) = 4q + 2q + 2 Reorder the terms: 7q + -1(-2 + q) = 4q + 2q + 2 7q + (-2 * -1 + q * -1) = 4q + 2q + 2 7q + (2 + -1q) = 4q + 2q + 2 Reorder the terms: 2 + 7q + -1q = 4q + 2q + 2 Combine like terms: 7q + -1q = 6q 2 + 6q = 4q + 2q + 2 Reorder the terms: 2 + 6q = 2 + 4q + 2q Combine like terms: 4q + 2q = 6q 2 + 6q = 2 + 6q Add '-2' to each side of the equation. 2 + -2 + 6q = 2 + -2 + 6q Combine like terms: 2 + -2 = 0 0 + 6q = 2 + -2 + 6q 6q = 2 + -2 + 6q Combine like terms: 2 + -2 = 0 6q = 0 + 6q 6q = 6q Add '-6q' to each side of the equation. 6q + -6q = 6q + -6q Combine like terms: 6q + -6q = 0 0 = 6q + -6q Combine like terms: 6q + -6q = 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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