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Simplifying 5a + 4(3a + -8) = 4 + 3a Reorder the terms: 5a + 4(-8 + 3a) = 4 + 3a 5a + (-8 * 4 + 3a * 4) = 4 + 3a 5a + (-32 + 12a) = 4 + 3a Reorder the terms: -32 + 5a + 12a = 4 + 3a Combine like terms: 5a + 12a = 17a -32 + 17a = 4 + 3a Solving -32 + 17a = 4 + 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. -32 + 17a + -3a = 4 + 3a + -3a Combine like terms: 17a + -3a = 14a -32 + 14a = 4 + 3a + -3a Combine like terms: 3a + -3a = 0 -32 + 14a = 4 + 0 -32 + 14a = 4 Add '32' to each side of the equation. -32 + 32 + 14a = 4 + 32 Combine like terms: -32 + 32 = 0 0 + 14a = 4 + 32 14a = 4 + 32 Combine like terms: 4 + 32 = 36 14a = 36 Divide each side by '14'. a = 2.571428571 Simplifying a = 2.571428571
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