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Simplifying 2(a + -7) + -3a = -17 + -1(a + -3) Reorder the terms: 2(-7 + a) + -3a = -17 + -1(a + -3) (-7 * 2 + a * 2) + -3a = -17 + -1(a + -3) (-14 + 2a) + -3a = -17 + -1(a + -3) Combine like terms: 2a + -3a = -1a -14 + -1a = -17 + -1(a + -3) Reorder the terms: -14 + -1a = -17 + -1(-3 + a) -14 + -1a = -17 + (-3 * -1 + a * -1) -14 + -1a = -17 + (3 + -1a) Combine like terms: -17 + 3 = -14 -14 + -1a = -14 + -1a Add '14' to each side of the equation. -14 + 14 + -1a = -14 + 14 + -1a Combine like terms: -14 + 14 = 0 0 + -1a = -14 + 14 + -1a -1a = -14 + 14 + -1a Combine like terms: -14 + 14 = 0 -1a = 0 + -1a -1a = -1a Add 'a' to each side of the equation. -1a + a = -1a + a Combine like terms: -1a + a = 0 0 = -1a + a Combine like terms: -1a + a = 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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