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