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Simplifying 5a + 7(3a + -8) = 4 + 13a Reorder the terms: 5a + 7(-8 + 3a) = 4 + 13a 5a + (-8 * 7 + 3a * 7) = 4 + 13a 5a + (-56 + 21a) = 4 + 13a Reorder the terms: -56 + 5a + 21a = 4 + 13a Combine like terms: 5a + 21a = 26a -56 + 26a = 4 + 13a Solving -56 + 26a = 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. -56 + 26a + -13a = 4 + 13a + -13a Combine like terms: 26a + -13a = 13a -56 + 13a = 4 + 13a + -13a Combine like terms: 13a + -13a = 0 -56 + 13a = 4 + 0 -56 + 13a = 4 Add '56' to each side of the equation. -56 + 56 + 13a = 4 + 56 Combine like terms: -56 + 56 = 0 0 + 13a = 4 + 56 13a = 4 + 56 Combine like terms: 4 + 56 = 60 13a = 60 Divide each side by '13'. a = 4.615384615 Simplifying a = 4.615384615
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