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Simplifying 4(8 + -1a) + -42 = 16a + -5(2 + 4a) (8 * 4 + -1a * 4) + -42 = 16a + -5(2 + 4a) (32 + -4a) + -42 = 16a + -5(2 + 4a) Reorder the terms: 32 + -42 + -4a = 16a + -5(2 + 4a) Combine like terms: 32 + -42 = -10 -10 + -4a = 16a + -5(2 + 4a) -10 + -4a = 16a + (2 * -5 + 4a * -5) -10 + -4a = 16a + (-10 + -20a) Reorder the terms: -10 + -4a = -10 + 16a + -20a Combine like terms: 16a + -20a = -4a -10 + -4a = -10 + -4a Add '10' to each side of the equation. -10 + 10 + -4a = -10 + 10 + -4a Combine like terms: -10 + 10 = 0 0 + -4a = -10 + 10 + -4a -4a = -10 + 10 + -4a Combine like terms: -10 + 10 = 0 -4a = 0 + -4a -4a = -4a Add '4a' to each side of the equation. -4a + 4a = -4a + 4a Combine like terms: -4a + 4a = 0 0 = -4a + 4a Combine like terms: -4a + 4a = 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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