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Simplifying 5a + (3a + -8) = 4 + 13a Reorder the terms: 5a + (-8 + 3a) = 4 + 13a Remove parenthesis around (-8 + 3a) 5a + -8 + 3a = 4 + 13a Reorder the terms: -8 + 5a + 3a = 4 + 13a Combine like terms: 5a + 3a = 8a -8 + 8a = 4 + 13a Solving -8 + 8a = 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. -8 + 8a + -13a = 4 + 13a + -13a Combine like terms: 8a + -13a = -5a -8 + -5a = 4 + 13a + -13a Combine like terms: 13a + -13a = 0 -8 + -5a = 4 + 0 -8 + -5a = 4 Add '8' to each side of the equation. -8 + 8 + -5a = 4 + 8 Combine like terms: -8 + 8 = 0 0 + -5a = 4 + 8 -5a = 4 + 8 Combine like terms: 4 + 8 = 12 -5a = 12 Divide each side by '-5'. a = -2.4 Simplifying a = -2.4
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