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Simplifying 4a + -8 = 5(a + 1) + 13a + 4 Reorder the terms: -8 + 4a = 5(a + 1) + 13a + 4 Reorder the terms: -8 + 4a = 5(1 + a) + 13a + 4 -8 + 4a = (1 * 5 + a * 5) + 13a + 4 -8 + 4a = (5 + 5a) + 13a + 4 Reorder the terms: -8 + 4a = 5 + 4 + 5a + 13a Combine like terms: 5 + 4 = 9 -8 + 4a = 9 + 5a + 13a Combine like terms: 5a + 13a = 18a -8 + 4a = 9 + 18a Solving -8 + 4a = 9 + 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. -8 + 4a + -18a = 9 + 18a + -18a Combine like terms: 4a + -18a = -14a -8 + -14a = 9 + 18a + -18a Combine like terms: 18a + -18a = 0 -8 + -14a = 9 + 0 -8 + -14a = 9 Add '8' to each side of the equation. -8 + 8 + -14a = 9 + 8 Combine like terms: -8 + 8 = 0 0 + -14a = 9 + 8 -14a = 9 + 8 Combine like terms: 9 + 8 = 17 -14a = 17 Divide each side by '-14'. a = -1.214285714 Simplifying a = -1.214285714
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