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Simplifying 8q + -1(q + -4) = 3q + 4(q + 1) Reorder the terms: 8q + -1(-4 + q) = 3q + 4(q + 1) 8q + (-4 * -1 + q * -1) = 3q + 4(q + 1) 8q + (4 + -1q) = 3q + 4(q + 1) Reorder the terms: 4 + 8q + -1q = 3q + 4(q + 1) Combine like terms: 8q + -1q = 7q 4 + 7q = 3q + 4(q + 1) Reorder the terms: 4 + 7q = 3q + 4(1 + q) 4 + 7q = 3q + (1 * 4 + q * 4) 4 + 7q = 3q + (4 + 4q) Reorder the terms: 4 + 7q = 4 + 3q + 4q Combine like terms: 3q + 4q = 7q 4 + 7q = 4 + 7q Add '-4' to each side of the equation. 4 + -4 + 7q = 4 + -4 + 7q Combine like terms: 4 + -4 = 0 0 + 7q = 4 + -4 + 7q 7q = 4 + -4 + 7q Combine like terms: 4 + -4 = 0 7q = 0 + 7q 7q = 7q Add '-7q' to each side of the equation. 7q + -7q = 7q + -7q Combine like terms: 7q + -7q = 0 0 = 7q + -7q Combine like terms: 7q + -7q = 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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