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Simplifying (a + 10) = 7[a + -1(9 + -1a)] Reorder the terms: (10 + a) = 7[a + -1(9 + -1a)] Remove parenthesis around (10 + a) 10 + a = 7[a + -1(9 + -1a)] 10 + a = 7[a + (9 * -1 + -1a * -1)] 10 + a = 7[a + (-9 + 1a)] Reorder the terms: 10 + a = 7[-9 + a + 1a] Combine like terms: a + 1a = 2a 10 + a = 7[-9 + 2a] 10 + a = [-9 * 7 + 2a * 7] 10 + a = [-63 + 14a] Solving 10 + a = -63 + 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 + a + -14a = -63 + 14a + -14a Combine like terms: a + -14a = -13a 10 + -13a = -63 + 14a + -14a Combine like terms: 14a + -14a = 0 10 + -13a = -63 + 0 10 + -13a = -63 Add '-10' to each side of the equation. 10 + -10 + -13a = -63 + -10 Combine like terms: 10 + -10 = 0 0 + -13a = -63 + -10 -13a = -63 + -10 Combine like terms: -63 + -10 = -73 -13a = -73 Divide each side by '-13'. a = 5.615384615 Simplifying a = 5.615384615
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