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Simplifying 3(8 + -1a) + -34 = 17a + -5(2 + 4a) (8 * 3 + -1a * 3) + -34 = 17a + -5(2 + 4a) (24 + -3a) + -34 = 17a + -5(2 + 4a) Reorder the terms: 24 + -34 + -3a = 17a + -5(2 + 4a) Combine like terms: 24 + -34 = -10 -10 + -3a = 17a + -5(2 + 4a) -10 + -3a = 17a + (2 * -5 + 4a * -5) -10 + -3a = 17a + (-10 + -20a) Reorder the terms: -10 + -3a = -10 + 17a + -20a Combine like terms: 17a + -20a = -3a -10 + -3a = -10 + -3a Add '10' to each side of the equation. -10 + 10 + -3a = -10 + 10 + -3a Combine like terms: -10 + 10 = 0 0 + -3a = -10 + 10 + -3a -3a = -10 + 10 + -3a Combine like terms: -10 + 10 = 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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