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Simplifying 3(9 + -1a) + -35 = 17a + -4(2 + 5a) (9 * 3 + -1a * 3) + -35 = 17a + -4(2 + 5a) (27 + -3a) + -35 = 17a + -4(2 + 5a) Reorder the terms: 27 + -35 + -3a = 17a + -4(2 + 5a) Combine like terms: 27 + -35 = -8 -8 + -3a = 17a + -4(2 + 5a) -8 + -3a = 17a + (2 * -4 + 5a * -4) -8 + -3a = 17a + (-8 + -20a) Reorder the terms: -8 + -3a = -8 + 17a + -20a Combine like terms: 17a + -20a = -3a -8 + -3a = -8 + -3a Add '8' to each side of the equation. -8 + 8 + -3a = -8 + 8 + -3a Combine like terms: -8 + 8 = 0 0 + -3a = -8 + 8 + -3a -3a = -8 + 8 + -3a Combine like terms: -8 + 8 = 0 -3a = 0 + -3a -3a = -3a Add '3a' to each side of the equation. -3a + 3a = -3a + 3a Combine like terms: -3a + 3a = 0 0 = -3a + 3a Combine like terms: -3a + 3a = 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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