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Simplifying 5(a + 2) = 7[a + -1(10 + -1a)] Reorder the terms: 5(2 + a) = 7[a + -1(10 + -1a)] (2 * 5 + a * 5) = 7[a + -1(10 + -1a)] (10 + 5a) = 7[a + -1(10 + -1a)] 10 + 5a = 7[a + (10 * -1 + -1a * -1)] 10 + 5a = 7[a + (-10 + 1a)] Reorder the terms: 10 + 5a = 7[-10 + a + 1a] Combine like terms: a + 1a = 2a 10 + 5a = 7[-10 + 2a] 10 + 5a = [-10 * 7 + 2a * 7] 10 + 5a = [-70 + 14a] Solving 10 + 5a = -70 + 14a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-14a' to each side of the equation. 10 + 5a + -14a = -70 + 14a + -14a Combine like terms: 5a + -14a = -9a 10 + -9a = -70 + 14a + -14a Combine like terms: 14a + -14a = 0 10 + -9a = -70 + 0 10 + -9a = -70 Add '-10' to each side of the equation. 10 + -10 + -9a = -70 + -10 Combine like terms: 10 + -10 = 0 0 + -9a = -70 + -10 -9a = -70 + -10 Combine like terms: -70 + -10 = -80 -9a = -80 Divide each side by '-9'. a = 8.888888889 Simplifying a = 8.888888889
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