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Simplifying 2(a + 9) = 10[a + -1(8 + -1a)] Reorder the terms: 2(9 + a) = 10[a + -1(8 + -1a)] (9 * 2 + a * 2) = 10[a + -1(8 + -1a)] (18 + 2a) = 10[a + -1(8 + -1a)] 18 + 2a = 10[a + (8 * -1 + -1a * -1)] 18 + 2a = 10[a + (-8 + 1a)] Reorder the terms: 18 + 2a = 10[-8 + a + 1a] Combine like terms: a + 1a = 2a 18 + 2a = 10[-8 + 2a] 18 + 2a = [-8 * 10 + 2a * 10] 18 + 2a = [-80 + 20a] Solving 18 + 2a = -80 + 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. 18 + 2a + -20a = -80 + 20a + -20a Combine like terms: 2a + -20a = -18a 18 + -18a = -80 + 20a + -20a Combine like terms: 20a + -20a = 0 18 + -18a = -80 + 0 18 + -18a = -80 Add '-18' to each side of the equation. 18 + -18 + -18a = -80 + -18 Combine like terms: 18 + -18 = 0 0 + -18a = -80 + -18 -18a = -80 + -18 Combine like terms: -80 + -18 = -98 -18a = -98 Divide each side by '-18'. a = 5.444444444 Simplifying a = 5.444444444
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