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Simplifying 1 = 4a + (-8) + 2a + 1 + -1a + -1(-4 + a) 1 = 4a + -8 + 2a + 1 + -1a + -1(-4 + a) 1 = 4a + -8 + 2a + 1 + -1a + (-4 * -1 + a * -1) 1 = 4a + -8 + 2a + 1 + -1a + (4 + -1a) Reorder the terms: 1 = -8 + 1 + 4 + 4a + 2a + -1a + -1a Combine like terms: -8 + 1 = -7 1 = -7 + 4 + 4a + 2a + -1a + -1a Combine like terms: -7 + 4 = -3 1 = -3 + 4a + 2a + -1a + -1a Combine like terms: 4a + 2a = 6a 1 = -3 + 6a + -1a + -1a Combine like terms: 6a + -1a = 5a 1 = -3 + 5a + -1a Combine like terms: 5a + -1a = 4a 1 = -3 + 4a Solving 1 = -3 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. 1 + -4a = -3 + 4a + -4a Combine like terms: 4a + -4a = 0 1 + -4a = -3 + 0 1 + -4a = -3 Add '-1' to each side of the equation. 1 + -1 + -4a = -3 + -1 Combine like terms: 1 + -1 = 0 0 + -4a = -3 + -1 -4a = -3 + -1 Combine like terms: -3 + -1 = -4 -4a = -4 Divide each side by '-4'. a = 1 Simplifying a = 1
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