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Simplifying 10(a + 3) = 9[a + -1(1 + -1a)] Reorder the terms: 10(3 + a) = 9[a + -1(1 + -1a)] (3 * 10 + a * 10) = 9[a + -1(1 + -1a)] (30 + 10a) = 9[a + -1(1 + -1a)] 30 + 10a = 9[a + (1 * -1 + -1a * -1)] 30 + 10a = 9[a + (-1 + 1a)] Reorder the terms: 30 + 10a = 9[-1 + a + 1a] Combine like terms: a + 1a = 2a 30 + 10a = 9[-1 + 2a] 30 + 10a = [-1 * 9 + 2a * 9] 30 + 10a = [-9 + 18a] Solving 30 + 10a = -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. 30 + 10a + -18a = -9 + 18a + -18a Combine like terms: 10a + -18a = -8a 30 + -8a = -9 + 18a + -18a Combine like terms: 18a + -18a = 0 30 + -8a = -9 + 0 30 + -8a = -9 Add '-30' to each side of the equation. 30 + -30 + -8a = -9 + -30 Combine like terms: 30 + -30 = 0 0 + -8a = -9 + -30 -8a = -9 + -30 Combine like terms: -9 + -30 = -39 -8a = -39 Divide each side by '-8'. a = 4.875 Simplifying a = 4.875
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