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Simplifying 3(4 + -1a) + -27 = 17a + -5(3 + 4a) (4 * 3 + -1a * 3) + -27 = 17a + -5(3 + 4a) (12 + -3a) + -27 = 17a + -5(3 + 4a) Reorder the terms: 12 + -27 + -3a = 17a + -5(3 + 4a) Combine like terms: 12 + -27 = -15 -15 + -3a = 17a + -5(3 + 4a) -15 + -3a = 17a + (3 * -5 + 4a * -5) -15 + -3a = 17a + (-15 + -20a) Reorder the terms: -15 + -3a = -15 + 17a + -20a Combine like terms: 17a + -20a = -3a -15 + -3a = -15 + -3a Add '15' to each side of the equation. -15 + 15 + -3a = -15 + 15 + -3a Combine like terms: -15 + 15 = 0 0 + -3a = -15 + 15 + -3a -3a = -15 + 15 + -3a Combine like terms: -15 + 15 = 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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