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Simplifying 4a + -2(a + -8) = 2 + 3a Reorder the terms: 4a + -2(-8 + a) = 2 + 3a 4a + (-8 * -2 + a * -2) = 2 + 3a 4a + (16 + -2a) = 2 + 3a Reorder the terms: 16 + 4a + -2a = 2 + 3a Combine like terms: 4a + -2a = 2a 16 + 2a = 2 + 3a Solving 16 + 2a = 2 + 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. 16 + 2a + -3a = 2 + 3a + -3a Combine like terms: 2a + -3a = -1a 16 + -1a = 2 + 3a + -3a Combine like terms: 3a + -3a = 0 16 + -1a = 2 + 0 16 + -1a = 2 Add '-16' to each side of the equation. 16 + -16 + -1a = 2 + -16 Combine like terms: 16 + -16 = 0 0 + -1a = 2 + -16 -1a = 2 + -16 Combine like terms: 2 + -16 = -14 -1a = -14 Divide each side by '-1'. a = 14 Simplifying a = 14
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