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Simplifying 5(8 + -1a) + -58 = 19a + -6(3 + 4a) (8 * 5 + -1a * 5) + -58 = 19a + -6(3 + 4a) (40 + -5a) + -58 = 19a + -6(3 + 4a) Reorder the terms: 40 + -58 + -5a = 19a + -6(3 + 4a) Combine like terms: 40 + -58 = -18 -18 + -5a = 19a + -6(3 + 4a) -18 + -5a = 19a + (3 * -6 + 4a * -6) -18 + -5a = 19a + (-18 + -24a) Reorder the terms: -18 + -5a = -18 + 19a + -24a Combine like terms: 19a + -24a = -5a -18 + -5a = -18 + -5a Add '18' to each side of the equation. -18 + 18 + -5a = -18 + 18 + -5a Combine like terms: -18 + 18 = 0 0 + -5a = -18 + 18 + -5a -5a = -18 + 18 + -5a Combine like terms: -18 + 18 = 0 -5a = 0 + -5a -5a = -5a Add '5a' to each side of the equation. -5a + 5a = -5a + 5a Combine like terms: -5a + 5a = 0 0 = -5a + 5a Combine like terms: -5a + 5a = 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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