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