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