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Simplifying 5a + 4(3a + -8) = 4 + 13a Reorder the terms: 5a + 4(-8 + 3a) = 4 + 13a 5a + (-8 * 4 + 3a * 4) = 4 + 13a 5a + (-32 + 12a) = 4 + 13a Reorder the terms: -32 + 5a + 12a = 4 + 13a Combine like terms: 5a + 12a = 17a -32 + 17a = 4 + 13a Solving -32 + 17a = 4 + 13a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-13a' to each side of the equation. -32 + 17a + -13a = 4 + 13a + -13a Combine like terms: 17a + -13a = 4a -32 + 4a = 4 + 13a + -13a Combine like terms: 13a + -13a = 0 -32 + 4a = 4 + 0 -32 + 4a = 4 Add '32' to each side of the equation. -32 + 32 + 4a = 4 + 32 Combine like terms: -32 + 32 = 0 0 + 4a = 4 + 32 4a = 4 + 32 Combine like terms: 4 + 32 = 36 4a = 36 Divide each side by '4'. a = 9 Simplifying a = 9
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