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Simplifying 11(a + -1) = a + -5 + 2(5a + -3) Reorder the terms: 11(-1 + a) = a + -5 + 2(5a + -3) (-1 * 11 + a * 11) = a + -5 + 2(5a + -3) (-11 + 11a) = a + -5 + 2(5a + -3) Reorder the terms: -11 + 11a = a + -5 + 2(-3 + 5a) -11 + 11a = a + -5 + (-3 * 2 + 5a * 2) -11 + 11a = a + -5 + (-6 + 10a) Reorder the terms: -11 + 11a = -5 + -6 + a + 10a Combine like terms: -5 + -6 = -11 -11 + 11a = -11 + a + 10a Combine like terms: a + 10a = 11a -11 + 11a = -11 + 11a Add '11' to each side of the equation. -11 + 11 + 11a = -11 + 11 + 11a Combine like terms: -11 + 11 = 0 0 + 11a = -11 + 11 + 11a 11a = -11 + 11 + 11a Combine like terms: -11 + 11 = 0 11a = 0 + 11a 11a = 11a Add '-11a' to each side of the equation. 11a + -11a = 11a + -11a Combine like terms: 11a + -11a = 0 0 = 11a + -11a Combine like terms: 11a + -11a = 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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