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Simplifying 4(8 + -1a) + -52 = 26a + -5(4 + 6a) (8 * 4 + -1a * 4) + -52 = 26a + -5(4 + 6a) (32 + -4a) + -52 = 26a + -5(4 + 6a) Reorder the terms: 32 + -52 + -4a = 26a + -5(4 + 6a) Combine like terms: 32 + -52 = -20 -20 + -4a = 26a + -5(4 + 6a) -20 + -4a = 26a + (4 * -5 + 6a * -5) -20 + -4a = 26a + (-20 + -30a) Reorder the terms: -20 + -4a = -20 + 26a + -30a Combine like terms: 26a + -30a = -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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