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Simplifying 5a + -1(2 + -1a) = 2a + -14 5a + (2 * -1 + -1a * -1) = 2a + -14 5a + (-2 + 1a) = 2a + -14 Reorder the terms: -2 + 5a + 1a = 2a + -14 Combine like terms: 5a + 1a = 6a -2 + 6a = 2a + -14 Reorder the terms: -2 + 6a = -14 + 2a Solving -2 + 6a = -14 + 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 + 6a + -2a = -14 + 2a + -2a Combine like terms: 6a + -2a = 4a -2 + 4a = -14 + 2a + -2a Combine like terms: 2a + -2a = 0 -2 + 4a = -14 + 0 -2 + 4a = -14 Add '2' to each side of the equation. -2 + 2 + 4a = -14 + 2 Combine like terms: -2 + 2 = 0 0 + 4a = -14 + 2 4a = -14 + 2 Combine like terms: -14 + 2 = -12 4a = -12 Divide each side by '4'. a = -3 Simplifying a = -3
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