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Simplifying 2(a + 9) = 5[a + -1(4 + -1a)] Reorder the terms: 2(9 + a) = 5[a + -1(4 + -1a)] (9 * 2 + a * 2) = 5[a + -1(4 + -1a)] (18 + 2a) = 5[a + -1(4 + -1a)] 18 + 2a = 5[a + (4 * -1 + -1a * -1)] 18 + 2a = 5[a + (-4 + 1a)] Reorder the terms: 18 + 2a = 5[-4 + a + 1a] Combine like terms: a + 1a = 2a 18 + 2a = 5[-4 + 2a] 18 + 2a = [-4 * 5 + 2a * 5] 18 + 2a = [-20 + 10a] Solving 18 + 2a = -20 + 10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. 18 + 2a + -10a = -20 + 10a + -10a Combine like terms: 2a + -10a = -8a 18 + -8a = -20 + 10a + -10a Combine like terms: 10a + -10a = 0 18 + -8a = -20 + 0 18 + -8a = -20 Add '-18' to each side of the equation. 18 + -18 + -8a = -20 + -18 Combine like terms: 18 + -18 = 0 0 + -8a = -20 + -18 -8a = -20 + -18 Combine like terms: -20 + -18 = -38 -8a = -38 Divide each side by '-8'. a = 4.75 Simplifying a = 4.75
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