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Simplifying 4(a + 7) = 9[a + -1(5 + -1a)] Reorder the terms: 4(7 + a) = 9[a + -1(5 + -1a)] (7 * 4 + a * 4) = 9[a + -1(5 + -1a)] (28 + 4a) = 9[a + -1(5 + -1a)] 28 + 4a = 9[a + (5 * -1 + -1a * -1)] 28 + 4a = 9[a + (-5 + 1a)] Reorder the terms: 28 + 4a = 9[-5 + a + 1a] Combine like terms: a + 1a = 2a 28 + 4a = 9[-5 + 2a] 28 + 4a = [-5 * 9 + 2a * 9] 28 + 4a = [-45 + 18a] Solving 28 + 4a = -45 + 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. 28 + 4a + -18a = -45 + 18a + -18a Combine like terms: 4a + -18a = -14a 28 + -14a = -45 + 18a + -18a Combine like terms: 18a + -18a = 0 28 + -14a = -45 + 0 28 + -14a = -45 Add '-28' to each side of the equation. 28 + -28 + -14a = -45 + -28 Combine like terms: 28 + -28 = 0 0 + -14a = -45 + -28 -14a = -45 + -28 Combine like terms: -45 + -28 = -73 -14a = -73 Divide each side by '-14'. a = 5.214285714 Simplifying a = 5.214285714
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