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Simplifying 1 + -2(3a + -5) = 3 + -1(2a + 1) + 8 Reorder the terms: 1 + -2(-5 + 3a) = 3 + -1(2a + 1) + 8 1 + (-5 * -2 + 3a * -2) = 3 + -1(2a + 1) + 8 1 + (10 + -6a) = 3 + -1(2a + 1) + 8 Combine like terms: 1 + 10 = 11 11 + -6a = 3 + -1(2a + 1) + 8 Reorder the terms: 11 + -6a = 3 + -1(1 + 2a) + 8 11 + -6a = 3 + (1 * -1 + 2a * -1) + 8 11 + -6a = 3 + (-1 + -2a) + 8 Reorder the terms: 11 + -6a = 3 + -1 + 8 + -2a Combine like terms: 3 + -1 = 2 11 + -6a = 2 + 8 + -2a Combine like terms: 2 + 8 = 10 11 + -6a = 10 + -2a Solving 11 + -6a = 10 + -2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. 11 + -6a + 2a = 10 + -2a + 2a Combine like terms: -6a + 2a = -4a 11 + -4a = 10 + -2a + 2a Combine like terms: -2a + 2a = 0 11 + -4a = 10 + 0 11 + -4a = 10 Add '-11' to each side of the equation. 11 + -11 + -4a = 10 + -11 Combine like terms: 11 + -11 = 0 0 + -4a = 10 + -11 -4a = 10 + -11 Combine like terms: 10 + -11 = -1 -4a = -1 Divide each side by '-4'. a = 0.25 Simplifying a = 0.25
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