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Simplifying 9q + -1(q + -4) = 4q + 4(q + 1) Reorder the terms: 9q + -1(-4 + q) = 4q + 4(q + 1) 9q + (-4 * -1 + q * -1) = 4q + 4(q + 1) 9q + (4 + -1q) = 4q + 4(q + 1) Reorder the terms: 4 + 9q + -1q = 4q + 4(q + 1) Combine like terms: 9q + -1q = 8q 4 + 8q = 4q + 4(q + 1) Reorder the terms: 4 + 8q = 4q + 4(1 + q) 4 + 8q = 4q + (1 * 4 + q * 4) 4 + 8q = 4q + (4 + 4q) Reorder the terms: 4 + 8q = 4 + 4q + 4q Combine like terms: 4q + 4q = 8q 4 + 8q = 4 + 8q Add '-4' to each side of the equation. 4 + -4 + 8q = 4 + -4 + 8q Combine like terms: 4 + -4 = 0 0 + 8q = 4 + -4 + 8q 8q = 4 + -4 + 8q Combine like terms: 4 + -4 = 0 8q = 0 + 8q 8q = 8q Add '-8q' to each side of the equation. 8q + -8q = 8q + -8q Combine like terms: 8q + -8q = 0 0 = 8q + -8q Combine like terms: 8q + -8q = 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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