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