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Simplifying 2(4a + -3) + -8 = 4 + 2a Reorder the terms: 2(-3 + 4a) + -8 = 4 + 2a (-3 * 2 + 4a * 2) + -8 = 4 + 2a (-6 + 8a) + -8 = 4 + 2a Reorder the terms: -6 + -8 + 8a = 4 + 2a Combine like terms: -6 + -8 = -14 -14 + 8a = 4 + 2a Solving -14 + 8a = 4 + 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. -14 + 8a + -2a = 4 + 2a + -2a Combine like terms: 8a + -2a = 6a -14 + 6a = 4 + 2a + -2a Combine like terms: 2a + -2a = 0 -14 + 6a = 4 + 0 -14 + 6a = 4 Add '14' to each side of the equation. -14 + 14 + 6a = 4 + 14 Combine like terms: -14 + 14 = 0 0 + 6a = 4 + 14 6a = 4 + 14 Combine like terms: 4 + 14 = 18 6a = 18 Divide each side by '6'. a = 3 Simplifying a = 3
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