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Simplifying 2(5a + -1) + -11a = -3 + -2a Reorder the terms: 2(-1 + 5a) + -11a = -3 + -2a (-1 * 2 + 5a * 2) + -11a = -3 + -2a (-2 + 10a) + -11a = -3 + -2a Combine like terms: 10a + -11a = -1a -2 + -1a = -3 + -2a Solving -2 + -1a = -3 + -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. -2 + -1a + 2a = -3 + -2a + 2a Combine like terms: -1a + 2a = 1a -2 + 1a = -3 + -2a + 2a Combine like terms: -2a + 2a = 0 -2 + 1a = -3 + 0 -2 + 1a = -3 Add '2' to each side of the equation. -2 + 2 + 1a = -3 + 2 Combine like terms: -2 + 2 = 0 0 + 1a = -3 + 2 1a = -3 + 2 Combine like terms: -3 + 2 = -1 1a = -1 Divide each side by '1'. a = -1 Simplifying a = -1
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