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Simplifying 4(4 + -1a) + -31 = 26a + -5(3 + 6a) (4 * 4 + -1a * 4) + -31 = 26a + -5(3 + 6a) (16 + -4a) + -31 = 26a + -5(3 + 6a) Reorder the terms: 16 + -31 + -4a = 26a + -5(3 + 6a) Combine like terms: 16 + -31 = -15 -15 + -4a = 26a + -5(3 + 6a) -15 + -4a = 26a + (3 * -5 + 6a * -5) -15 + -4a = 26a + (-15 + -30a) Reorder the terms: -15 + -4a = -15 + 26a + -30a Combine like terms: 26a + -30a = -4a -15 + -4a = -15 + -4a Add '15' to each side of the equation. -15 + 15 + -4a = -15 + 15 + -4a Combine like terms: -15 + 15 = 0 0 + -4a = -15 + 15 + -4a -4a = -15 + 15 + -4a Combine like terms: -15 + 15 = 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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