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Simplifying 1 + -2a + -1(3a + -10) = 3 + -1a Reorder the terms: 1 + -2a + -1(-10 + 3a) = 3 + -1a 1 + -2a + (-10 * -1 + 3a * -1) = 3 + -1a 1 + -2a + (10 + -3a) = 3 + -1a Reorder the terms: 1 + 10 + -2a + -3a = 3 + -1a Combine like terms: 1 + 10 = 11 11 + -2a + -3a = 3 + -1a Combine like terms: -2a + -3a = -5a 11 + -5a = 3 + -1a Solving 11 + -5a = 3 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. 11 + -5a + a = 3 + -1a + a Combine like terms: -5a + a = -4a 11 + -4a = 3 + -1a + a Combine like terms: -1a + a = 0 11 + -4a = 3 + 0 11 + -4a = 3 Add '-11' to each side of the equation. 11 + -11 + -4a = 3 + -11 Combine like terms: 11 + -11 = 0 0 + -4a = 3 + -11 -4a = 3 + -11 Combine like terms: 3 + -11 = -8 -4a = -8 Divide each side by '-4'. a = 2 Simplifying a = 2
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