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Simplifying 9(a + 3) = 10[a + -1(5 + -1a)] Reorder the terms: 9(3 + a) = 10[a + -1(5 + -1a)] (3 * 9 + a * 9) = 10[a + -1(5 + -1a)] (27 + 9a) = 10[a + -1(5 + -1a)] 27 + 9a = 10[a + (5 * -1 + -1a * -1)] 27 + 9a = 10[a + (-5 + 1a)] Reorder the terms: 27 + 9a = 10[-5 + a + 1a] Combine like terms: a + 1a = 2a 27 + 9a = 10[-5 + 2a] 27 + 9a = [-5 * 10 + 2a * 10] 27 + 9a = [-50 + 20a] Solving 27 + 9a = -50 + 20a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-20a' to each side of the equation. 27 + 9a + -20a = -50 + 20a + -20a Combine like terms: 9a + -20a = -11a 27 + -11a = -50 + 20a + -20a Combine like terms: 20a + -20a = 0 27 + -11a = -50 + 0 27 + -11a = -50 Add '-27' to each side of the equation. 27 + -27 + -11a = -50 + -27 Combine like terms: 27 + -27 = 0 0 + -11a = -50 + -27 -11a = -50 + -27 Combine like terms: -50 + -27 = -77 -11a = -77 Divide each side by '-11'. a = 7 Simplifying a = 7
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