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Simplifying 5a + -9 = 5(a + 1) + 13a + 1 Reorder the terms: -9 + 5a = 5(a + 1) + 13a + 1 Reorder the terms: -9 + 5a = 5(1 + a) + 13a + 1 -9 + 5a = (1 * 5 + a * 5) + 13a + 1 -9 + 5a = (5 + 5a) + 13a + 1 Reorder the terms: -9 + 5a = 5 + 1 + 5a + 13a Combine like terms: 5 + 1 = 6 -9 + 5a = 6 + 5a + 13a Combine like terms: 5a + 13a = 18a -9 + 5a = 6 + 18a Solving -9 + 5a = 6 + 18a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-18a' to each side of the equation. -9 + 5a + -18a = 6 + 18a + -18a Combine like terms: 5a + -18a = -13a -9 + -13a = 6 + 18a + -18a Combine like terms: 18a + -18a = 0 -9 + -13a = 6 + 0 -9 + -13a = 6 Add '9' to each side of the equation. -9 + 9 + -13a = 6 + 9 Combine like terms: -9 + 9 = 0 0 + -13a = 6 + 9 -13a = 6 + 9 Combine like terms: 6 + 9 = 15 -13a = 15 Divide each side by '-13'. a = -1.153846154 Simplifying a = -1.153846154
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