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