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Simplifying 2(3a + -1a) = 2a + -10(a + 1) Combine like terms: 3a + -1a = 2a 2(2a) = 2a + -10(a + 1) Remove parenthesis around (2a) 2 * 2a = 2a + -10(a + 1) Multiply 2 * 2 4a = 2a + -10(a + 1) Reorder the terms: 4a = 2a + -10(1 + a) 4a = 2a + (1 * -10 + a * -10) 4a = 2a + (-10 + -10a) Reorder the terms: 4a = -10 + 2a + -10a Combine like terms: 2a + -10a = -8a 4a = -10 + -8a Solving 4a = -10 + -8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8a' to each side of the equation. 4a + 8a = -10 + -8a + 8a Combine like terms: 4a + 8a = 12a 12a = -10 + -8a + 8a Combine like terms: -8a + 8a = 0 12a = -10 + 0 12a = -10 Divide each side by '12'. a = -0.8333333333 Simplifying a = -0.8333333333
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