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Simplifying 5a + -8 = 6(a + 1) + 13a + 1 Reorder the terms: -8 + 5a = 6(a + 1) + 13a + 1 Reorder the terms: -8 + 5a = 6(1 + a) + 13a + 1 -8 + 5a = (1 * 6 + a * 6) + 13a + 1 -8 + 5a = (6 + 6a) + 13a + 1 Reorder the terms: -8 + 5a = 6 + 1 + 6a + 13a Combine like terms: 6 + 1 = 7 -8 + 5a = 7 + 6a + 13a Combine like terms: 6a + 13a = 19a -8 + 5a = 7 + 19a Solving -8 + 5a = 7 + 19a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-19a' to each side of the equation. -8 + 5a + -19a = 7 + 19a + -19a Combine like terms: 5a + -19a = -14a -8 + -14a = 7 + 19a + -19a Combine like terms: 19a + -19a = 0 -8 + -14a = 7 + 0 -8 + -14a = 7 Add '8' to each side of the equation. -8 + 8 + -14a = 7 + 8 Combine like terms: -8 + 8 = 0 0 + -14a = 7 + 8 -14a = 7 + 8 Combine like terms: 7 + 8 = 15 -14a = 15 Divide each side by '-14'. a = -1.071428571 Simplifying a = -1.071428571
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