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Simplifying 2(a + 10) = 9[a + -1(4 + -1a)] Reorder the terms: 2(10 + a) = 9[a + -1(4 + -1a)] (10 * 2 + a * 2) = 9[a + -1(4 + -1a)] (20 + 2a) = 9[a + -1(4 + -1a)] 20 + 2a = 9[a + (4 * -1 + -1a * -1)] 20 + 2a = 9[a + (-4 + 1a)] Reorder the terms: 20 + 2a = 9[-4 + a + 1a] Combine like terms: a + 1a = 2a 20 + 2a = 9[-4 + 2a] 20 + 2a = [-4 * 9 + 2a * 9] 20 + 2a = [-36 + 18a] Solving 20 + 2a = -36 + 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. 20 + 2a + -18a = -36 + 18a + -18a Combine like terms: 2a + -18a = -16a 20 + -16a = -36 + 18a + -18a Combine like terms: 18a + -18a = 0 20 + -16a = -36 + 0 20 + -16a = -36 Add '-20' to each side of the equation. 20 + -20 + -16a = -36 + -20 Combine like terms: 20 + -20 = 0 0 + -16a = -36 + -20 -16a = -36 + -20 Combine like terms: -36 + -20 = -56 -16a = -56 Divide each side by '-16'. a = 3.5 Simplifying a = 3.5
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